Nonlinear functional analysis and its applications / [electronic resource] Felix E. Browder, editor.

By: Summer Research Institute on Nonlinear Functional Analysis and Its Applications (1983 : University of California at Berkeley)Contributor(s): Browder, Felix EMaterial type: TextTextSeries: Proceedings of symposia in pure mathematics ; v. 45.2Publication details: Providence, R.I. : American Mathematical Society, c1986Description: 1 online resource (2 v. : ill.)ISBN: 9780821893388 (online)Subject(s): Nonlinear functional analysis -- CongressesAdditional physical formats: Nonlinear functional analysis and its applications /DDC classification: 515.7 LOC classification: QA321.5 | .S86 1983Online resources: Contents | Contents
Partial contents:
Remarks on the Euler and Navier-Stokes equations in $\mathbf {R}^2$ / Tosio Kato -- http://www.ams.org/pspum/045.2 http://dx.doi.org/10.1090/pspum/045.2/843590 Nonlinear equations of evolution in Banach spaces / Tosio Kato -- http://www.ams.org/pspum/045.2 http://dx.doi.org/10.1090/pspum/045.2/843591 Geometrical properties of level sets of solutions to elliptic problems / Bernhard Kawohl -- http://www.ams.org/pspum/045.2 http://dx.doi.org/10.1090/pspum/045.2/843592 Remarks about St.-Venant solutions in finite elasticity / David Kinderlehrer -- http://www.ams.org/pspum/045.2 http://dx.doi.org/10.1090/pspum/045.2/843593 Nonexpansive mappings in product spaces, set-valued mappings and $k$-uniform rotundity / W. A. Kirk -- http://www.ams.org/pspum/045.2 http://dx.doi.org/10.1090/pspum/045.2/843594 A new operator theoretic algorithm for solving first order scalar quasilinear equations / Yoshikazu Kobayashi -- http://www.ams.org/pspum/045.2 http://dx.doi.org/10.1090/pspum/045.2/843595 A general interpolation theorem of Marcinkiewicz type / Hikosaburo Komatsu -- http://www.ams.org/pspum/045.2 http://dx.doi.org/10.1090/pspum/045.2/843596 An easy proof of the interior gradient bound for solutions to the prescribed mean curvature equation / N. Korevaar -- http://www.ams.org/pspum/045.2 http://dx.doi.org/10.1090/pspum/045.2/843597 On application of the monotone iteration scheme to wave and biharmonic equations / Philip Korman -- http://www.ams.org/pspum/045.2 http://dx.doi.org/10.1090/pspum/045.2/843598 Unilateral obstacle problem for strongly nonlinear second order elliptic operators / R�udiger Landes and Vesa Mustonen -- http://www.ams.org/pspum/045.2 http://dx.doi.org/10.1090/pspum/045.2/843599 Product formula, imaginary resolvents and modified Feynman integral / Michel L. Lapidus -- http://www.ams.org/pspum/045.2 http://dx.doi.org/10.1090/pspum/045.2/843600 Quasilinear elliptic equations with nonlinear boundary conditions / Gary M. Lieberman -- http://www.ams.org/pspum/045.2 http://dx.doi.org/10.1090/pspum/045.2/843601 Some $L^p$ inequalities and their applications to fixed point theorems of uniformly Lipschitzian mappings / Teck-Cheong Lim -- http://www.ams.org/pspum/045.2 http://dx.doi.org/10.1090/pspum/045.2/843602 Some remarks on the optimal control of singular distributed systems / J.-L. Lions -- http://www.ams.org/pspum/045.2 http://dx.doi.org/10.1090/pspum/045.2/843603 Global continuation and complicated trajectories for periodic solutions of a differential-delay equation / John Mallet-Paret and Roger D. Nussbaum -- http://www.ams.org/pspum/045.2 http://dx.doi.org/10.1090/pspum/045.2/843604 On quasiconvexity in the calculus of variations / Paolo Marcellini -- http://www.ams.org/pspum/045.2 http://dx.doi.org/10.1090/pspum/045.2/843605 Asymptotic growth for evolutionary surfaces of prescribed mean curvature / Paolo Marcellini and Keith Miller -- http://www.ams.org/pspum/045.2 http://dx.doi.org/10.1090/pspum/045.2/843606 $L^2$-decay of solutions of the Navier-Stokes equations in the exterior domain / Ky�uya Masuda -- http://www.ams.org/pspum/045.2 http://dx.doi.org/10.1090/pspum/045.2/843607 On the index and the covering dimension of the solution set of semilinear equations / P. S. Milojevi�c -- http://www.ams.org/pspum/045.2 http://dx.doi.org/10.1090/pspum/045.2/843608 Pointwise potential estimates for elliptic obstacle problems / Umberto Mosco -- http://www.ams.org/pspum/045.2 http://dx.doi.org/10.1090/pspum/045.2/843609 On singularities of solutions to nonlinear elliptic systems of partial differential equations / Jind�rich Ne�cas -- http://www.ams.org/pspum/045.2 http://dx.doi.org/10.1090/pspum/045.2/843610 Uniqueness, nonuniqueness and related questions of nonlinear elliptic and parabolic equations / Wei-Ming Ni -- http://www.ams.org/pspum/045.2 http://dx.doi.org/10.1090/pspum/045.2/843611 Global solutions of the hyperbolic Yang-Mills equations and their sharp asymptotics / Stephen M. Paneitz -- http://www.ams.org/pspum/045.2 http://dx.doi.org/10.1090/pspum/045.2/843612 Surjectivity of generalized $\phi $-accretive operators / Sehie Park and Jong An Park -- http://www.ams.org/pspum/045.2 http://dx.doi.org/10.1090/pspum/045.2/843613 Approximation-solvability of periodic boundary value problems via the $A$-proper mapping theory / W. V. Petryshyn -- http://www.ams.org/pspum/045.2 http://dx.doi.org/10.1090/pspum/045.2/843614 On a generalization of the Fuller index / A. J. B. Potter -- http://www.ams.org/pspum/045.2 http://dx.doi.org/10.1090/pspum/045.2/843615 Minimax methods for indefinite functionals / Paul H. Rabinowitz -- http://www.ams.org/pspum/045.2 http://dx.doi.org/10.1090/pspum/045.2/843616 Nonlinear semigroups, holomorphic mappings, and integral equations / Simeon Reich -- http://www.ams.org/pspum/045.2 http://dx.doi.org/10.1090/pspum/045.2/843617 Rearrangement of functions and reverse Jensen inequalities / Carlo Sbordone -- http://www.ams.org/pspum/045.2 http://dx.doi.org/10.1090/pspum/045.2/843618 Bifurcation and even-like vector fields / Steve J. Schiffman and Jay H. Wolkowisky -- http://www.ams.org/pspum/045.2 http://dx.doi.org/10.1090/pspum/045.2/843619 Classical and quantized invariant wave equations -- progress and problems / Irving Segal -- http://www.ams.org/pspum/045.2 http://dx.doi.org/10.1090/pspum/045.2/843620 Resonance and the stationary Navier-Stokes equations / Victor L. Shapiro -- http://www.ams.org/pspum/045.2 http://dx.doi.org/10.1090/pspum/045.2/843621 On removable point singularities of coupled Yang-Mills fields / L. M. Sibner -- http://www.ams.org/pspum/045.2 http://dx.doi.org/10.1090/pspum/045.2/843622 Two-function minimax theorems and variational inequalities for functions on compact and noncompact sets, with some comments on fixed-point theorems / S. Simons -- http://www.ams.org/pspum/045.2 http://dx.doi.org/10.1090/pspum/045.2/843623 On approximating fixed points / S. P. Singh and B. Watson -- http://www.ams.org/pspum/045.2 http://dx.doi.org/10.1090/pspum/045.2/843624 Symmetry breaking and nondegenerate solutions of semilinear elliptic equations / Joel A. Smoller and Arthur G. Wasserman -- http://www.ams.org/pspum/045.2 http://dx.doi.org/10.1090/pspum/045.2/843625 A generalized Palais-Smale condition and applications / Michael Struwe -- http://www.ams.org/pspum/045.2 http://dx.doi.org/10.1090/pspum/045.2/843626 Existence and nonuniqueness of solutions of a noncoercive elliptic variational inequality / Andrzej Szulkin -- http://www.ams.org/pspum/045.2 http://dx.doi.org/10.1090/pspum/045.2/843627 Fixed point, minimax, and Hahn-Banach theorems / Wataru Takahashi -- http://www.ams.org/pspum/045.2 http://dx.doi.org/10.1090/pspum/045.2/843628 Remarks on the Euler equations / R. Temam -- http://www.ams.org/pspum/045.2 http://dx.doi.org/10.1090/pspum/045.2/843629 Infinite-dimensional dynamical systems in fluid mechanics / R. Temam -- http://www.ams.org/pspum/045.2 http://dx.doi.org/10.1090/pspum/045.2/843630 Existence of symmetric homoclinic orbits for systems of Euler-Langrange equations / J. F. Toland -- http://www.ams.org/pspum/045.2 http://dx.doi.org/10.1090/pspum/045.2/843631 Graphs with prescribed curvature / Neil S.
Trudinger -- http://www.ams.org/pspum/045.2 http://dx.doi.org/10.1090/pspum/045.2/843632 Navier-Stokes equations for compressible fluids: global estimates and periodic solutions / Alberto Valli -- http://www.ams.org/pspum/045.2 http://dx.doi.org/10.1090/pspum/045.2/843633 Weak and strong singularities of nonlinear elliptic equations / Laurent V�eron -- http://www.ams.org/pspum/045.2 http://dx.doi.org/10.1090/pspum/045.2/843634 Regularity of weak solutions of the Navier-Stokes equations / Wolf von Wahl -- http://www.ams.org/pspum/045.2 http://dx.doi.org/10.1090/pspum/045.2/843635 A monotone convergence theorem in abstract Banach spaces / Ioan I. Vrabie -- http://www.ams.org/pspum/045.2 http://dx.doi.org/10.1090/pspum/045.2/843636 On a class of strongly nonlinear Dirichlet boundary value problems: beyond Poho�zaev's results / Pierre-A. Vuillermot -- http://www.ams.org/pspum/045.2 http://dx.doi.org/10.1090/pspum/045.2/843637 Topological degree and global bifurcation / Jeffrey R. L. Webb and Stewart C. Welsh -- http://www.ams.org/pspum/045.2 http://dx.doi.org/10.1090/pspum/045.2/843638 Generalized idea of Synge and its applications to topology and calculus of variations in positively curved manifolds / S. Walter Wei -- http://www.ams.org/pspum/045.2 http://dx.doi.org/10.1090/pspum/045.2/843639
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"Proceedings of the Summer Research Institute on Nonlinear Functional Analysis and Its Applications, held at the University of California, Berkeley California, July 11-29, 1983"--V. 1, t.p. verso.

Includes bibliographies.

Remarks on the Euler and Navier-Stokes equations in $\mathbf {R}^2$ / Tosio Kato -- Nonlinear equations of evolution in Banach spaces / Tosio Kato -- Geometrical properties of level sets of solutions to elliptic problems / Bernhard Kawohl -- Remarks about St.-Venant solutions in finite elasticity / David Kinderlehrer -- Nonexpansive mappings in product spaces, set-valued mappings and $k$-uniform rotundity / W. A. Kirk -- A new operator theoretic algorithm for solving first order scalar quasilinear equations / Yoshikazu Kobayashi -- A general interpolation theorem of Marcinkiewicz type / Hikosaburo Komatsu -- An easy proof of the interior gradient bound for solutions to the prescribed mean curvature equation / N. Korevaar -- On application of the monotone iteration scheme to wave and biharmonic equations / Philip Korman -- Unilateral obstacle problem for strongly nonlinear second order elliptic operators / R�udiger Landes and Vesa Mustonen -- Product formula, imaginary resolvents and modified Feynman integral / Michel L. Lapidus -- Quasilinear elliptic equations with nonlinear boundary conditions / Gary M. Lieberman -- Some $L^p$ inequalities and their applications to fixed point theorems of uniformly Lipschitzian mappings / Teck-Cheong Lim -- Some remarks on the optimal control of singular distributed systems / J.-L. Lions -- Global continuation and complicated trajectories for periodic solutions of a differential-delay equation / John Mallet-Paret and Roger D. Nussbaum -- On quasiconvexity in the calculus of variations / Paolo Marcellini -- Asymptotic growth for evolutionary surfaces of prescribed mean curvature / Paolo Marcellini and Keith Miller -- $L^2$-decay of solutions of the Navier-Stokes equations in the exterior domain / Ky�uya Masuda -- On the index and the covering dimension of the solution set of semilinear equations / P. S. Milojevi�c -- Pointwise potential estimates for elliptic obstacle problems / Umberto Mosco -- On singularities of solutions to nonlinear elliptic systems of partial differential equations / Jind�rich Ne�cas -- Uniqueness, nonuniqueness and related questions of nonlinear elliptic and parabolic equations / Wei-Ming Ni -- Global solutions of the hyperbolic Yang-Mills equations and their sharp asymptotics / Stephen M. Paneitz -- Surjectivity of generalized $\phi $-accretive operators / Sehie Park and Jong An Park -- Approximation-solvability of periodic boundary value problems via the $A$-proper mapping theory / W. V. Petryshyn -- On a generalization of the Fuller index / A. J. B. Potter -- Minimax methods for indefinite functionals / Paul H. Rabinowitz -- Nonlinear semigroups, holomorphic mappings, and integral equations / Simeon Reich -- Rearrangement of functions and reverse Jensen inequalities / Carlo Sbordone -- Bifurcation and even-like vector fields / Steve J. Schiffman and Jay H. Wolkowisky -- Classical and quantized invariant wave equations -- progress and problems / Irving Segal -- Resonance and the stationary Navier-Stokes equations / Victor L. Shapiro -- On removable point singularities of coupled Yang-Mills fields / L. M. Sibner -- Two-function minimax theorems and variational inequalities for functions on compact and noncompact sets, with some comments on fixed-point theorems / S. Simons -- On approximating fixed points / S. P. Singh and B. Watson -- Symmetry breaking and nondegenerate solutions of semilinear elliptic equations / Joel A. Smoller and Arthur G. Wasserman -- A generalized Palais-Smale condition and applications / Michael Struwe -- Existence and nonuniqueness of solutions of a noncoercive elliptic variational inequality / Andrzej Szulkin -- Fixed point, minimax, and Hahn-Banach theorems / Wataru Takahashi -- Remarks on the Euler equations / R. Temam -- Infinite-dimensional dynamical systems in fluid mechanics / R. Temam -- Existence of symmetric homoclinic orbits for systems of Euler-Langrange equations / J. F. Toland -- Graphs with prescribed curvature / Neil S.

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Trudinger -- Navier-Stokes equations for compressible fluids: global estimates and periodic solutions / Alberto Valli -- Weak and strong singularities of nonlinear elliptic equations / Laurent V�eron -- Regularity of weak solutions of the Navier-Stokes equations / Wolf von Wahl -- A monotone convergence theorem in abstract Banach spaces / Ioan I. Vrabie -- On a class of strongly nonlinear Dirichlet boundary value problems: beyond Poho�zaev's results / Pierre-A. Vuillermot -- Topological degree and global bifurcation / Jeffrey R. L. Webb and Stewart C. Welsh -- Generalized idea of Synge and its applications to topology and calculus of variations in positively curved manifolds / S. Walter Wei --

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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

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