Elliptic boundary-value problems with discontinuous nonlinearities

DOI10.1007/BF01038598zbMath0843.35034OpenAlexW2069258396MaRDI QIDQ1901389

Salvatore A. Marano

Publication date: 14 November 1995

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

Full work available at URL: https://doi.org/10.1007/bf01038598

zbMATH Keywords

set-valued mappingsdiscontinuous nonlinearities

Mathematics Subject Classification ID

PDEs with multivalued right-hand sides (35R70) Nonlinear boundary value problems for linear elliptic equations (35J65)

Related Items (13)

Elliptic problems in ℝ^N with discontinuous nonlinearities ⋮ Non-differentiable functionals and applications to elliptic problems with discontinuous nonlinearities ⋮ Elliptic eigenvalue problems with highly discontinuous nonlinearities ⋮ Parabolic equations with discontinuous nonlinearities ⋮ Quasilinear elliptic equations with discontinuous nonlinearities in Rn ⋮ Elliptic equations and differential inclusions ⋮ Implicit equations involving the \(p\)-Laplace operator ⋮ On a three critical points theorem for non-differentiable functions and applications to nonlinear boundary value problems ⋮ Multiplicity results for a Neumann problem with \(p\)-Laplacian and non-smooth potential ⋮ Elliptic equations with discontinuous nonlinearities in N ⋮ Implicit elliptic boundary-value problems with discontinuous nonlinearities ⋮ Existence results for the equation \(-\Delta u=f (x,u)\) in \(\mathbb{R}^n\) ⋮ Extremal solutions for quasilinear elliptic inclusions in all of \(\mathbb{R}^N\) with state-dependent subdifferentials

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Variational methods in the study of boundary value problems with discontinuous nonlinearity
• Free boundary problems and the set-valued mappings
• Some discontinuous variational problems
• A bifurcation result for a Dirichlet problem with discontinuous nonlinearity
• Variational methods for non-differentiable functionals and their applications to partial differential equations
• On extremal solutions of an elliptic boundary value problem involving discontinuous nonlinearities
• Maximal and minimal solutions of elliptic differential equations with discontinuous non-linearities
• The dual variational principle and elliptic problems with discontinuous nonlinearities
• Riemann-measurable selections
• Implicit elliptic differential equations
• On positive solutions of nonlinear elliptic eigenvalue problems
• Differential equations with discontinuous right-hand sides
• A Variational Method for Boundary Value Problems with Discontinuous Nonlinearities
• An existence result for elliptic differential inclusions with discontinuous nonlinearity
• Measurable relations
• An existence theorem for inclusions of the type and application to a multivalued boundary value problem
• Existence theorems for a semilinear elliptic boundary value problem

This page was built for publication: Elliptic boundary-value problems with discontinuous nonlinearities