Implicit elliptic boundary-value problems with discontinuous nonlinearities

DOI10.1007/BF00419370zbMath0866.35042OpenAlexW2058659963MaRDI QIDQ2563818

Salvatore A. Marano

Publication date: 16 December 1996

Published in: Set-Valued Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00419370

zbMATH Keywords

discontinuity pointselliptic differential inclusionsimplicit elliptic system

Mathematics Subject Classification ID

PDEs with multivalued right-hand sides (35R70) Nonlinear boundary value problems for linear elliptic equations (35J65) PDEs with low regular coefficients and/or low regular data (35R05)

Related Items (6)

Elliptic problems in ℝ^N with discontinuous nonlinearities ⋮ On a class of inclusions in ordered spaces ⋮ Boundary value problems of a class of nonlinear partial differential inclusions ⋮ Elliptic equations and differential inclusions ⋮ Implicit equations involving the \(p\)-Laplace operator ⋮ Structure of the solution set for a partial differential inclusion

Cites Work

• Multivalued mappings
• Lipschitzian solutions of the implicit Cauchy problem \(g(x')=f(t,x)\), \(x(0)=0\), with \(f\) discontinuous in \(x\).
• Implicit elliptic differential equations
• Positive solutions of elliptic equations with discontinuous nonlinearities
• Elliptic boundary-value problems with discontinuous nonlinearities
• Problèmes elliptiques du 2ème ordre non sous forme divergence
• An existence theorem for inclusions of the type and application to a multivalued boundary value problem

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