Constant sign solutions for double phase problems with variable exponents
type: Item
instance of: scholarly article
title: Constant sign solutions for double phase problems with variable exponents
zbMATH Open document ID: 1500.35123
author: Francesca Vetro
author: Patrick Winkert
published in: Applied Mathematics Letters
publication date: 2022-10-11T00:00:00Z
review text: This article is concerned with quasilinear elliptic equations driven by the variable exponent double phase operators. It also feature parametric terms and a superlinear perturbation. The main result of the article establishes the existence of at least two bounded weak solutions with constant sign. The approach is variational and relies on truncation arguments combined with comparison methods.
reviewed by: Marius Ghergu
Mathematics Subject Classification ID: 35J20
Mathematics Subject Classification ID: 35J62
zbMATH DE Number: 7599812
zbMATH Keywords: variable exponent double phase operator
zbMATH Keywords: constant sign solutions
zbMATH Keywords: existence results
zbMATH Keywords: multiple solutions
zbMATH Keywords: superlinear problems
MaRDI profile type: Publication
full work available at URL: j.aml.2022.108404
OpenAlex ID: W4292845818
cites work: Eigenvalues of \(p(x)\)-Laplacian Dirichlet problem
cites work: A new class of double phase variable exponent problems: existence and uniqueness
cites work: On variational problems and nonlinear elliptic equations with nonstandard growth conditions
cites work: Double-phase problems and a discontinuity property of the spectrum
cites work: Regularity for minimizers for functionals of double phase with variable exponents
cites work: On Lavrentiev's phenomenon
cites work: Existence results for double phase problem in Sobolev-Orlicz spaces with variable exponents in complete manifold
cites work: Double phase problems with variable growth and convection for the Baouendi-Grushin operator
cites work: Existence and multiplicity of solutions to concave-convex-type double-phase problems with variable exponent
cites work: Anisotropic Dirichlet double phase problems with competing nonlinearities
cites work: Double phase obstacle problems with variable exponent
cites work: Eigenvalues for double phase variational integrals
cites work: An existence result for singular Finsler double phase problems
cites work: Constant sign and nodal solutions for superlinear double phase problems
cites work: Existence and uniqueness results for double phase problems with convection term
cites work: Existence and multiplicity results for double phase problem
cites work: Superlinear (p(z), q(z))-equations
cites work: Solutions for parametric double phase Robin problems
cites work: Existence results for double-phase problems via Morse theory
cites work: Existence, uniqueness and asymptotic behavior of parametric anisotropic \((p, q)\)-equations with convection
cites work: Existence results for double phase implicit obstacle problems involving multivalued operators
cites work: Constant sign solutions for double phase problems with superlinear nonlinearity
cites work: Lebesgue and Sobolev spaces with variable exponents
cites work: Orlicz spaces and generalized Orlicz spaces
cites work: Partial Differential Equations with Variable Exponents
DOI: 10.1016/J.AML.2022.108404
description: scientific article; zbMATH DE number 7599812