Elliptic boundary value problems with nonsmooth potential and mixed boundary conditions

DOI10.1080/17476933.2011.647004zbMath1298.47073OpenAlexW1986363679MaRDI QIDQ2855433

Irinel Firoiu, Nicuşor Costea

Publication date: 25 October 2013

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2011.647004

zbMATH Keywords

weak solutionmixed boundary conditionselliptic inclusionset-valued operatorClarke's generalized gradient

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Set-valued maps in general topology (54C60) Set-valued operators (47H04) Ordinary differential inclusions (34A60) Variational and other types of inclusions (47J22)

Related Items (2)

Deformation of a long thermoelastic rod of rectangular normal cross-section under mixed boundary conditions by boundary integrals ⋮ Stress analysis for long thermoelastic rods with mixed boundary conditions

Cites Work

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• Existence and uniqueness results for a class of quasi-hemivariational inequalities
• A multiplicity result for gradient-type systems with non-differentiable term
• Weak solutions for nonlinear antiplane problems leading to hemivariational inequalities
• Variational methods for non-differentiable functionals and their applications to partial differential equations
• Existence of solutions for elliptic hemivariational inequalities
• A multiplicity result for a special class of gradient-type systems with non-differentiable term
• General comparison principle for quasilinear elliptic inclusions
• On some non-linear elliptic differential functional equations
• A non-smooth three critical points theorem with applications in differential inclusions
• ON EIGENVALUE PROBLEMS FOR ELLIPTIC HEMIVARIATIONAL INEQUALITIES
• Convex sets, fixed points, variational and minimax inequalities
• Existence Results For Inequality Problems
• A quasilinear Neumann problem with discontinuous nonlinearity
• Hartman–Stampacchia results for stably pseudomonotone operators and non-linear hemivariational inequalities
• Nonlinear monotone operators and convex sets in Banach spaces

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