A nonsmooth principle of symmetric criticality and variational-hemivariational inequalities

DOI10.1016/j.jmaa.2006.02.062zbMath1182.49007OpenAlexW2102946366MaRDI QIDQ853974

Csaba Varga, Viorica Varga, Alexandru Kristály

Publication date: 7 December 2006

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.02.062

zbMATH Keywords

principle of symmetric criticalityvariational-hemivariational inequalitiesMotreanu-Panagiotopoulos type functionalunbounded strip

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational inequalities (49J40) Nonsmooth analysis (49J52) Variational methods involving nonlinear operators (47J30)

Related Items (14)

Some applications to variational-hemivariational inequalities of the principle of symmetric criticality for Motreanu-Panagiotopoulos type functionals ⋮ Critical point theory on convex subsets with applications in differential equations and analysis ⋮ Inequality problems of quasi-hemivariational type involving set-valued operators and a nonlinear term ⋮ A class of quasilinear elliptic hemivariational inequality problems ⋮ Three nontrivial solutions for Kirchhoff-type variational-hemivariational inequalities ⋮ On Palais' principle for non-smooth functionals ⋮ Orbital geometry and group majorisation in optimisation ⋮ Ground state solutions for singular \(p\)-Laplacian equation in \(\mathbb R^N\) ⋮ Existence of nontrivial solutions for \(p\)-Laplacian variational inclusion systems in \(\mathbb R^N\) ⋮ Infinitely many solutions for a differential inclusion problem in \(\mathbb R^N\) involving the \(p(x)\)-Laplacian ⋮ Three symmetric solutions for a differential inclusion system involving the \((p(x),q(x))\)-Laplacian in \(\mathbb R^N\) ⋮ General comparison principle for variational-hemivariational inequalities ⋮ Three solutions for an obstacle problem for a class of variational-hemivariational inequalities ⋮ On the generalised Brézis-Nirenberg problem

Cites Work

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• The principle of symmetric criticality for non-differentiable mappings
• Elliptic problems with singular potential and double-power nonlinearity
• Existence and infinitely many solutions for an abstract class of hemivariational inequalities
• Infinitely many solutions for a differential inclusion problem in \(\mathbb R^N\)
• Nonlinear elliptic problems in strip-like domains: symmetry of positive vortex rings
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• Existence of three solutions for a class of elliptic eigenvalue problems
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