Parameter-dependent variational-hemivariational inequalities and an unstable degenerate elliptic free boundary problem

DOI10.1016/j.nonrwa.2011.05.019zbMath1231.35082OpenAlexW2004310218MaRDI QIDQ660725

Siegfried Carl

Publication date: 5 February 2012

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2011.05.019

zbMATH Keywords

free boundary problemhemivariational inequalitycritical pointextremal solutionvariational methoddegenerate elliptic operatorsupersolutionparameter dependencevariationalsub

Mathematics Subject Classification ID

Free boundary problems for PDEs (35R35) Variational methods for second-order elliptic equations (35J20) Unilateral problems for nonlinear elliptic equations and variational inequalities with nonlinear elliptic operators (35J87) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (3)

On the boundedness of solutions to elliptic variational inequalities ⋮ The obstacle problem at zero for the fractional \(p\)-Laplacian ⋮ Elliptic hemivariational inequalities with nonhomogeneous Neumann boundary conditions and their applications to static frictional contact problems

Cites Work

• Cross-shaped and degenerate singularities in an unstable elliptic free boundary problem
• An unstable elliptic free boundary problem arising in solid combustion
• Existence results for variational-hemivariational problems with lack of convexity
• Uniform regularity close to cross singularities in an unstable free boundary problem
• Regularity for a more general class of quasilinear equations
• A strong maximum principle for some quasilinear elliptic equations
• Equivalence of Some Multi-Valued Elliptic Variational Inequalities and Variational-Hemivariational Inequalities
• Fixed Point Theory in Ordered Sets and Applications
• Eliminating Mixed Asymptotics in Obstacle Type Free Boundary Problems
• C1 + α local regularity of weak solutions of degenerate elliptic equations
• Boundary regularity for solutions of degenerate elliptic equations
• Symmetry breaking and other phenomena in the optimization of eigenvalues for composite membranes
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Parameter-dependent variational-hemivariational inequalities and an unstable degenerate elliptic free boundary problem