Existence and multiplicity of solutions for a quasilinear elliptic inclusion with a nonsmooth potential

DOI10.11650/tjm/170809zbMath1401.35362OpenAlexW2762784018MaRDI QIDQ1990401

Dongshu Wang, Ziqing Yuan, Li-Hong Huang

Publication date: 25 October 2018

Published in: Taiwanese Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.twjm/1507082431

zbMATH Keywords

Orlicz-Sobolev spacelocally Lipschitznonsmooth critical pointsecond deformation theoremnonsmooth Fountain theorem

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) PDEs with multivalued right-hand sides (35R70) Degenerate elliptic equations (35J70)

Related Items

Generalized Fountain theorem for locally Lipschitz functionals and application ⋮ A global result for a degenerate quasilinear eigenvalue problem with discontinuous nonlinearities

Cites Work

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• Multiple solutions for nonlinear coercive problems with a nonhomogeneous differential operator and a nonsmooth potential
• Nodal and multiple constant sign solutions for resonant \(p\)-Laplacian equations with a nonsmooth potential
• Arbitrarily small weak solutions for a nonlinear eigenvalue problem in Orlicz-Sobolev spaces
• On the existence of multiple positive solutions of quasilinear elliptic eigenvalue problems
• Multiplicity of solutions for a quasilinear elliptic problem via the cohomological index
• Variational methods for non-differentiable functionals and their applications to partial differential equations
• On principal eigenvalues for quasilinear elliptic differential operators: an Orlicz-Sobolev space setting
• \(W^{1,p}\) versus \(C^1\) local minimizers and multiplicity results for quasilinear elliptic equations.
• Mountain pass type solutions for quasilinear elliptic equations
• Nonsmooth critical point theory on closed convex sets and nonlinear hemivariational inequali\-ties
• Orlicz-Sobolev versus Hölder local minimizer and multiplicity results for quasilinear elliptic equations
• Pairs of positive solutions for nonlinear elliptic equations with the \(p\)-Laplacian and a nonsmooth potential
• Nonlinear elliptic boundary-value problems in Orlicz-Sobolev spaces
• Nonsmooth version of Fountain theorem and its application to a Dirichlet-type differential inclusion problem
• Global Lipschitz Regularity for a Class of Quasilinear Elliptic Equations
• Positive Solutions of Quasilinear Elliptic Equations with Critical Orlicz-Sobolev Nonlinearity on RN
• Boundary regularity for solutions of degenerate elliptic equations
• The obstacle problem and partial differential equations with discontinuous nonlinearities
• Strong maximum principles for supersolutions of quasilinear elliptic equations
• SOBOLEV VERSUS HÖLDER LOCAL MINIMIZERS AND GLOBAL MULTIPLICITY FOR SOME QUASILINEAR ELLIPTIC EQUATIONS
• The natural generalizationj of the natural conditions of ladyzhenskaya and uralľtseva for elliptic equations
• On a nonlinear eigenvalue problem in OrliczSobolev spaces
• Positive, Negative, and Nodal Solutions to Elliptic Differential Inclusions Depending on a Parameter
• Nonlinear Elliptic Boundary Value Problems for Equations With Rapidly (Or Slowly) Increasing Coefficients
• On the second deformation lemma