xmlui.dri2xhtml.METS-1.0.item-relation-isbasedon:1). Eigenvalue problems with weights in Lorentz spaces, with Mythily
Ramswamy, Marcello Lucia, Calculus of Variations and PDE , Volume
36, No: 3, 2009, 355-376.
(2). Positive solution branch for nonlinear eigenvalue problems in RN: with
Jagmohan Tyagi, Nonlinear Analysis, Theory, Methods and Application,
Volume 74, No. 6, 2011.
(3). The weighted eigenvalue problems for p-Laplacian with weights in
weak Lebesgue spaces, Electronic Journal of Di erential Equations,
Volume 2011, No. 64, 2011, pp. 1-22.
Abstract:
The main objective of this thesis is to find a large class of weight functions that admits a positive principal eigenvalue for the weighted eigenvalue problems for the Laplacian and the p-Laplacian.