Sponsored by the American Mathematical Society.

Includes bibliographies.

A monotone convergence theorem for sequences of nonlinear mappings. / Edgar Asplund -- Multiple solutions of nonlinear operator equations arising from the calculus of variations / Melvyn S. Berger -- On some degenerate nonlinear parabolic equations / Ha�im Brezis -- Existence theorems for Lagrange problems in Sobolev spaces / Lamberto Cesari -- Upper and lower bounds for the number of solutions of nonlinear equations / Jane Cronin -- Fredholm structures / James Eells, Jr. -- Degree theory on Banach manifolds / K. D. Elworthy and A. J. Tromba -- On the extension of contractions on normed spaces / D. G. de Figueiredo and L. A. Karlovitz -- On some nonexistence and nonuniqueness theorems for nonlinear parabolic equations / Hiroshi Fujita -- A general fixed-point theorem / Benjamin R. Halpern -- On critical sets for nonlinear equations of evolution with nonuniqueness / G. Stephen Jones -- Accretive operators and nonlinear evolution equations in Banach spaces. / Tosio Kato -- Fixed point theorems for nonexpansive mappings / William A. Kirk -- On some nonlinear partial differential equations related to optimal control theory / J.-L. Lions -- Perturbation of variational inequalities / Umberto Mosco -- Manifolds of sections of fiber bundles and the calculus of variations. / Richard S. Palais -- Nonlinear equations involving noncompact operators / W. V. Petryshyn -- The B�enard problem / P. H. Rabinowitz -- Monotone operators associated with saddle-functions and minimax problems / R. T. Rockafellar -- Some remarks on vector fields in Hilbert space / Erich H. Rothe -- Regularity of solutions of some variational inequalities / Guido Stampacchia -- Further applications of monotone methods to partial differential equations / Walter A. Strauss --

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

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