Multiple constant sign and nodal solutions for nonlinear elliptic equations with the \(p\)-Laplacian
type: Item
instance of: scholarly article
title: Multiple constant sign and nodal solutions for nonlinear elliptic equations with the \(p\)-Laplacian
zbMATH Open document ID: 1151.35036
author: Michael E. Filippakis
author: Nikolaos S. Papageorgiou
published in: Journal of Differential Equations
publication date: 2008-09-29T00:00:00Z
Mathematics Subject Classification ID: 35J65
Mathematics Subject Classification ID: 35J70
Mathematics Subject Classification ID: 35J20
zbMATH DE Number: 5348252
zbMATH Keywords: \(p\)-Laplacian
zbMATH Keywords: constant sign solutions
zbMATH Keywords: nodal solutions
zbMATH Keywords: concave-convex nonlinearity
zbMATH Keywords: second deformation theorem
zbMATH Keywords: upper-lower solution
zbMATH Keywords: truncated functional
MaRDI profile type: Publication
full work available at URL: j.jde.2008.07.004
OpenAlex ID: W1967936251
cites work: Multiplicity results for some nonlinear elliptic equations
cites work: Q4879409
cites work: Infinitely many arbitrarily small positive solutions for the Dirichlet problem involving the p-Laplacian
cites work: On a superlinear elliptic \(p\)-Laplacian equation.
cites work: A Dirichlet problem involving critical exponents
cites work: Infinite dimensional Morse theory and multiple solution problems
cites work: The beginning of the Fučik spectrum for the \(p\)-Laplacian
cites work: On sign-changing solutions of certain semilinear elliptic problems
cites work: Q3254057
cites work: SOBOLEV VERSUS HÖLDER LOCAL MINIMIZERS AND GLOBAL MULTIPLICITY FOR SOME QUASILINEAR ELLIPTIC EQUATIONS
cites work: Q4439479
cites work: On the antimaximum principle for the \(p\)-Laplacian with indefinite weight
cites work: Quasilinear elliptic equations involving critical Sobolev exponents
cites work: Existence and multiplicity results for Dirichlet problems with \(p\)-Laplacian.
cites work: Boundary regularity for solutions of degenerate elliptic equations
cites work: THE EXISTENCE OF MULTIPLE SOLUTIONS TO QUASILINEAR ELLIPTIC EQUATIONS
cites work: Multiple solutions for coercive \(p\)-Laplacian equations
cites work: Absolute continuity on tracks and mappings of Sobolev spaces
cites work: Multiple nontrivial solutions for nonlinear eigenvalue problems
cites work: A multiplicity theorem for problems with the \(p\)-Laplacian
cites work: A general variational principle and some of its applications
cites work: A strong maximum principle for some quasilinear elliptic equations
cites work: Construction of pseudo-gradient vector field and sign-changing multiple solutions involving \(p\)-Laplacian
cites work: On sign-changing and multiple solutions of the \(p\)-Laplacian.
DOI: 10.1016/J.JDE.2008.07.004
description: scientific article; zbMATH DE number 5348252