\((p, q)\)-equations with negative concave terms
type: Item
instance of: scholarly article
title: \((p, q)\)-equations with negative concave terms
zbMATH Open document ID: 1501.35232
author: Ángel Crespo-Blanco
author: Nikolaos S. Papageorgiou
author: Patrick Winkert
published in: The Journal of Geometric Analysis
publication date: 2022-10-31T00:00:00Z
review text: The paper contains results on the existence of multiple solutions with sign information for a nonlinear Dirichlet problem driven by the \((p,q)\)-Laplacian.
Mathematics Subject Classification ID: 35J92
Mathematics Subject Classification ID: 35J25
Mathematics Subject Classification ID: 35A01
zbMATH DE Number: 7610108
zbMATH Keywords: \((p, q)\)-Laplacian
zbMATH Keywords: Dirichlet problem
zbMATH Keywords: existence of multiple solutions
reviewed by: Dumitru Motreanu
MaRDI profile type: Publication
full work available at URL: s12220-022-01044-5
OpenAlex ID: W4307647701
cites work: Degree theory for operators of monotone type and nonlinear elliptic equations with inequality constraints
cites work: Combined effects of concave and convex nonlinearities in some elliptic problems
cites work: Multiple solutions for some elliptic equations with a nonlinearity concave at the origin
cites work: Q3803507
cites work: SOBOLEV VERSUS HÖLDER LOCAL MINIMIZERS AND GLOBAL MULTIPLICITY FOR SOME QUASILINEAR ELLIPTIC EQUATIONS
cites work: Q4272029
cites work: The boundedness and Hölder continuity of weak solutions to elliptic equations involving variable exponents and critical growth
cites work: Q4367585
cites work: A critical point theorem related to the symmetric mountain pass lemma and its applications to elliptic equations
cites work: Eigenvalue problems for the \(p\)-Laplacian
cites work: On a class of critical Robin problems
cites work: The natural generalizationj of the natural conditions of ladyzhenskaya and uralľtseva for elliptic equations
cites work: Some recent results on the Dirichlet problem for \((p,q)\)-Laplace equations
cites work: Topological and Variational Methods with Applications to Nonlinear Boundary Value Problems
cites work: Resonant (p, 2)-equations with concave terms
cites work: Nonlinear nonhomogeneous Robin problems with superlinear reaction term
cites work: Asymmetric \((p,2)\)-equations, superlinear at \(+\infty\) resonant at \(-\infty\)
cites work: Applied Nonlinear Functional Analysis
cites work: Positive solutions for perturbations of the Robin eigenvalue problem plus an indefinite potential
cites work: Asymmetric Robin problems with indefinite potential and concave terms
cites work: Nonlinear Analysis - Theory and Methods
cites work: Multiplicity results for some elliptic problems with concave nonlinearities
cites work: The maximum principle
DOI: 10.1007/S12220-022-01044-5
description: scientific article; zbMATH DE number 7610108