Heat equations with discontinuous nonlinearities on convex and nonconvex constraints

DOI10.1016/0362-546X(91)90055-6zbMath0753.35046OpenAlexW1973089762MaRDI QIDQ4008877

Marlène Frigon, Claudio Saccon

Publication date: 27 September 1992

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(91)90055-6

zbMATH Keywords

curves of maximal relaxed slopeparabolic semilinear equations with discontinuous nonlinear terms

Mathematics Subject Classification ID

Variational inequalities (49J40) Nonlinear parabolic equations (35K55) Unilateral problems for linear parabolic equations and variational inequalities with linear parabolic operators (35K85) Variational methods applied to PDEs (35A15) Heat equation (35K05) Variational principles in infinite-dimensional spaces (58E30)

Related Items

A parabolic hemivariational inequality ⋮ Parabolic equations with discontinuous nonlinearities ⋮ On a critical point theory for multivalued functionals and application to partial differential inclusions ⋮ Multivalued perturbations for a class of nonlinear evolution equations

Cites Work

• General properties of \((p,q)\)-convex functions and \((p,q)\)-monotone operators
• Evolution equations associated with \((p,q)\)-convex functions and \((p,q)\)-monotone operators
• On multivalued evolution equations in Hilbert spaces
• Multiplicity of eigenvalues for the Laplace operator with respect to an obstacle, and nontangency conditions
• Evolution equations with lack of convexity
• Punti inferiormente stazionari ed equazioni di evoluzione con vincoli unilaterali non convessi
• Nagumo type condition for partial differential inclusions
• On Nearest Points of Sets in Uniformly Convex Banach Spaces
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