A global result for a degenerate quasilinear eigenvalue problem with discontinuous nonlinearities

DOI10.1007/s00526-023-02437-2OpenAlexW4318200634MaRDI QIDQ2682639

Jefferson Abrantes Santos, Pedro F. Silva Pontes, Sérgio H. M. Soares

Publication date: 1 February 2023

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00526-023-02437-2

zbMATH Keywords

Dirichlet problemexistencevariational methodsdegenerate quasilinear equations

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Variational methods applied to PDEs (35A15) Degenerate elliptic equations (35J70) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quasilinear elliptic equations (35J62)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Uniform Lipschitz regularity for classes of minimizers in two phase free boundary problems in Orlicz spaces with small density on the negative phase
• Second-order two-sided estimates in nonlinear elliptic problems
• Multivalued elliptic equation with exponential critical growth in \(\mathbb{R}^2\)
• Strongly nonlinear multivalued elliptic equations on a bounded domain
• Bifurcation problems for equations of elliptic type with discontinuous nonlinearities
• Some discontinuous variational problems
• Existence results for a Neumann problem involving the \(p(x)\)-Laplacian with discontinuous nonlinearities
• Non-differentiable functionals and applications to elliptic problems with discontinuous nonlinearities
• On the existence of multiple positive solutions of quasilinear elliptic eigenvalue problems
• Infinitely many solutions for a boundary value problem with discontinuous nonlinearities
• Variational methods for non-differentiable functionals and their applications to partial differential equations
• The dual variational principle and elliptic problems with discontinuous nonlinearities
• Nonlinear elliptic eigenvalue problems with discontinuities
• Some discontinuous problems with a quasilinear operator
• Variational integrals on Orlicz-Sobolev spaces
• Variational methods for problems from plasticity theory and for generalized Newtonian fluids
• Weak solvability for Dirichlet partial differential inclusions in Orlicz-Sobolev spaces
• Elenbaas problem of electric arc discharge
• Nonlinear eigenvalue problem for a model equation of an elastic surface
• Orlicz-Sobolev versus Hölder local minimizer and multiplicity results for quasilinear elliptic equations
• Continuous approximations of Gol'dshtik's model
• Existence and multiplicity of solutions for a quasilinear elliptic inclusion with a nonsmooth potential
• Three symmetric solutions for a class of elliptic equations involving the \(p\)-Laplacian with discontinuous nonlinearities in \(\mathbb R^{N}\)
• An eigenvalue Dirichlet problem involving the \(p\)-Laplacian with discontinuous nonlinearities
• Sets of Finite Perimeter and Geometric Variational Problems
• Positive Solutions of Quasilinear Elliptic Equations with Critical Orlicz-Sobolev Nonlinearity on RN
• Boundary regularity for solutions of degenerate elliptic equations
• A New Approach to Lagrange Multipliers
• The obstacle problem and partial differential equations with discontinuous nonlinearities
• Elliptic equations with discontinuous nonlinearities in N
• Existence and multiplicity results for elliptic problems with critical growth and discontinuous nonlinearities
• Existence of positive solutions for a class of semipositone quasilinear problems through Orlicz-Sobolev space
• The natural generalizationj of the natural conditions of ladyzhenskaya and uralľtseva for elliptic equations
• Inviscid separation in steady planar flows
• Positive solutions of quasilinear elliptic obstacle problems with critical exponents
• Variational inequalities for energy functionals with nonstandard growth conditions
• Subsolution-supersolution method in variational inequalities
• A variational approach to discontinuous problems with critical Sobolev exponents
• On a three critical points theorem for non-differentiable functions and applications to nonlinear boundary value problems
• Semilinear elliptic equations and nonlinearities with zeros

This page was built for publication: A global result for a degenerate quasilinear eigenvalue problem with discontinuous nonlinearities