Multiple solutions for a class of quasilinear elliptic problems with discontinuous nonlinearities and weights

DOI10.1016/J.NA.2010.01.039zbMath1189.35352OpenAlexW1969837235MaRDI QIDQ965019

Cheng Fu Wang, Yi Sheng Huang

Publication date: 21 April 2010

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2010.01.039

zbMATH Keywords

variational methodsmultiple solutionsnonsmooth mountain pass theoremCaffarelli-Kohn-Nirenberg type equation

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Degenerate elliptic equations (35J70) PDEs with low regular coefficients and/or low regular data (35R05) Variational methods for second-order elliptic equations (35J20) Unilateral problems for nonlinear elliptic equations and variational inequalities with nonlinear elliptic operators (35J87)

Related Items (6)

Estimates for a spectral parameter in elliptic boundary value problems with discontinuous nonlinearities ⋮ Existence and multiplicity of weak solutions for a singular quasilinear elliptic equation ⋮ The existence of semiregular solutions to elliptic spectral problems with discontinuous nonlinearities ⋮ The topological degree methods for the fractional p(·)-Laplacian problems with discontinuous nonlinearities ⋮ On existence and concentration of solutions for an elliptic problem with discontinuous nonlinearity via penalization method ⋮ Existence of solutions to a nonvariational elliptic boundary value problem with parameter and discontinuous nonlinearity

Cites Work

• Variational methods for non-differentiable functionals and their applications to partial differential equations
• Existence and multiplicity results for some quasilinear elliptic equation with weights
• Singular elliptic problems with lack of compactness
• A New Approach to Lagrange Multipliers
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