An Obstacle Problem in a Plane Domain with two Solutions

DOI10.1515/ans-2014-0205zbMath1301.49023OpenAlexW2514532255MaRDI QIDQ2923139

Marcelo Montenegro, Giovany M. Figueiredo, Marcelo F. Furtado

Publication date: 15 October 2014

Published in: Advanced Nonlinear Studies (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ans-2014-0205

zbMATH Keywords

variational inequalityobstacle problemTrudinger-Moser inequalitylower semicontinuous functionalsexponential critical growth

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational inequalities (49J40) Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear elliptic equations (35J60) Methods involving semicontinuity and convergence; relaxation (49J45) Free boundary problems for PDEs (35R35)

Related Items (2)

Existence of solution for a class of variational inequality in whole \(\mathbb{R}^N\) with critical growth: the local mountain pass case ⋮ Existence of solution for a class of variational inequality in whole \(\mathbb{R}^N\) with critical growth

Cites Work

• Unnamed Item
• A regularity theory for a general class of quasilinear elliptic partial differential equations and obstacle problems
• A free boundary problem involving limiting Sobolev exponents
• Variational Inequalities and Eigenvalue Problems for Nonlinear Maximal Monotone Operators in a Hilbert Space
• Positive solutions of quasilinear elliptic obstacle problems with critical exponents

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