Multiplicity of positive solutions for (p,q)-Laplace equations with two parameters

DOI10.1142/S0219199721500085zbMath1486.35229arXiv2007.11623OpenAlexW3135012873MaRDI QIDQ5066311

Vladimir Bobkov, Mieko Tanaka

Publication date: 29 March 2022

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.11623

zbMATH Keywords

existence of positive solutionsDirichlet condition\((p,q)\)-Laplacian

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Other special methods applied to PDEs (35A25) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (2)

On subhomogeneous indefinite \(p\)-Laplace equations in the supercritical spectral interval ⋮ Local minimizers for a class of functionals over the Nehari set

Cites Work

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• Eigenvalues for double phase variational integrals
• On variational problems and nonlinear elliptic equations with nonstandard growth conditions
• Convexity properties of Dirichlet integrals and Picone-type inequalities
• Multiple existence results of solutions for the Neumann problems via super- and sub-solutions
• Constant-sign and nodal solutions of coercive \((p, q)\)-Laplacian problems
• Spectral analysis of nonlinear operators
• The maximum principle
• On positive solutions for \((p,q)\)-Laplace equations with two parameters
• On a class of critical \((p,q)\)-Laplacian problems
• An antimaximum principle for a degenerate parabolic problem
• A mountain pass theorem
• Elliptic versus parabolic regularization for the equation of prescribed mean curvature
• An improved Poincaré inequality and the \(p\)-Laplacian at resonance for \(p>2\)
• Remarks on minimizers for \((p,q)\)-Laplace equations with two parameters
• Some recent results on the Dirichlet problem for \((p,q)\)-Laplace equations
• On the stationary solutions of generalized reaction diffusion equations with \(p\)\& \(q\)-Laplacian
• On the Morse index of least energy nodal solutions for quasilinear elliptic problems
• Multiple solutions with sign information for a \(( p, 2)\)-equation with combined nonlinearities
• Generalized Picone inequalities and their applications to \((p,q)\)-Laplace equations
• Generalized eigenvalue problems for \((p,q)\)-Laplacian with indefinite weight
• Regularity for double phase variational problems
• Local minimizers versus \(X\)-local minimizers
• On sign-changing solutions for \((p,q)\)-Laplace equations with two parameters
• On the Born-Infeld equation for electrostatic fields with a superposition of point charges
• A note on a model system with sudden directional diffusion
• On positive solutions of indefinite elliptic equations
• On solutions to the Dirichlet problem for an equation with 𝑝-Laplacian in a spherical layer
• Boundary regularity for solutions of degenerate elliptic equations
• Soliton Like Solutions of a Lorentz Invariant Equation in Dimension 3
• A Picone's identity for the p-Laplacian and applications
• SOBOLEV VERSUS HÖLDER LOCAL MINIMIZERS AND GLOBAL MULTIPLICITY FOR SOME QUASILINEAR ELLIPTIC EQUATIONS
• Existence results for double-phase problems via Morse theory
• On branches of positive solutions for 𝑝-Laplacian problems at the extreme value of the Nehari manifold method
• The natural generalizationj of the natural conditions of ladyzhenskaya and uralľtseva for elliptic equations
• Symmetry and stability of non-negative solutions to degenerate elliptic equations in a ball
• Nontrivial Solutions forp-Laplace Equations with Right-Hand Side Havingp-Linear Growth at Infinity
• Variational problems with a \(p\)-homogeneous energy

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