Parametric and nonparametric A-Laplace problems: Existence of solutions and asymptotic analysis

DOI10.3233/ASY-201612zbMath1473.35270MaRDI QIDQ4999995

Calogero Vetro

Publication date: 5 July 2021

Published in: Asymptotic Analysis (Search for Journal in Brave)

zbMATH Keywords

Dirichlet problemexistenceasymptotic behaviorvariational methods\(A\)-Laplace operator

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Boundary value problems for second-order elliptic equations (35J25) Variational methods applied to PDEs (35A15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quasilinear elliptic equations (35J62)

Related Items (5)

Arbitrarily small nodal solutions for nonhomogeneous Robin problems ⋮ Higher order spectrum and quasi-linear boundary problems of discrete p-Laplacian ⋮ Convergence analysis for double phase obstacle problems with multivalued convection term ⋮ Positive solutions for parametric \((p(z),q(z))\)-equations ⋮ Double phase obstacle problems with multivalued convection and mixed boundary value conditions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Existence of infinitely many solutions for the \((p, q)\)-Laplace equation
• On the existence of multiple positive solutions of quasilinear elliptic eigenvalue problems
• Double phase problems with variable growth
• Double phase anisotropic variational problems and combined effects of reaction and absorption terms
• Orlicz-Sobolev versus Hölder local minimizer and multiplicity results for quasilinear elliptic equations
• Double-phase problems with reaction of arbitrary growth
• Parameter dependence for the positive solutions of nonlinear, nonhomogeneous Robin problems
• Ground state and nodal solutions for a class of double phase problems
• Regularity for minimizers for functionals of double phase with variable exponents
• Orlicz-Sobolev spaces and imbedding theorems
• Topological and Variational Methods with Applications to Nonlinear Boundary Value Problems
• Positive Solutions of Quasilinear Elliptic Equations with Critical Orlicz-Sobolev Nonlinearity on RN
• Existence of positive solutions for a class of semipositone quasilinear problems through Orlicz-Sobolev space
• Nonlinear Analysis - Theory and Methods
• Superlinear (p(z), q(z))-equations
• Semilinear Robin problems driven by the Laplacian plus an indefinite potential
• Double phase transonic flow problems with variable growth: nonlinear patterns and stationary waves
• Double-phase problems and a discontinuity property of the spectrum
• Infinitely many solutions for mixed Dirichlet-Neumann problems driven by the (p,q)-laplace operator
• Existence theory for generalized Newtonian fluids

This page was built for publication: Parametric and nonparametric A-Laplace problems: Existence of solutions and asymptotic analysis