Quasilinear elliptic inclusions of hemivariational type: extremality and compactness of the solution set.

DOI10.1016/S0022-247X(03)00461-XzbMath1160.35552MaRDI QIDQ1413167

Motreanu, Dumitru, Siegfried Carl

Publication date: 16 November 2003

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

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Nonsmooth analysis (49J52) PDEs with multivalued right-hand sides (35R70) Nonlinear elliptic equations (35J60) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07)

Related Items (8)

Discretizations of Linear Elliptic Partial Differential Inclusions ⋮ Existence and comparison principles for general quasilinear variational-hemivariational inequal\-ities ⋮ Existence results for hemivariational inequalities with measures ⋮ Multiple and sign-changing solutions for the multivaluedp-Laplacian equation ⋮ Existence and comparison results for noncoercive and nonmonotone multivalued elliptic problems ⋮ Existence of Solutions for Some Quasilinear Degenerate Elliptic Inclusions in Weighted Sobolev Spaces ⋮ Existence and multiplicity for quasilinear elliptic inclusions with nonmonotone discontinuous multifunction ⋮ Quasilinear elliptic inclusions of Clarke's gradient type under local growth conditions

Cites Work

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• Extremal solutions of a class of dynamic boundary hemivariational inequalities
• Extremal solutions of quasilinear parabolic inclusions with generalized Clarke's gradient.
• Extremal solutions of parabolic hemivariational inequalities.
• Quasidifferentiability and nonsmooth modelling in mechanics, engineering and economics
• Addendum to On the Equation div( | ∇u | p-2 ∇u) + λ | u | p-2 u = 0"
• Existence of extremal solutions of boundary hemivariational inequalities

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