Exact multiplicity results for variational inequalities involving pointwise constraints on the derivatives

DOI10.1016/S0362-546X(02)00178-5zbMath1046.35022MaRDI QIDQ1863616

Riccardo Molle, Donato Passaseo

Publication date: 11 March 2003

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

zbMATH Keywords

nonsmooth analysisunilateral constraintsvariational methodsjumping nonlinearitiesnonlinear elliptic equationssupersolutionsexact number of solutions

Mathematics Subject Classification ID

Variational inequalities (49J40) Existence theories for optimal control problems involving partial differential equations (49J20) Variational methods for second-order elliptic equations (35J20)

Related Items (1)

Elliptic equations with jumping nonlinearities involving high eigenvalues

Cites Work

• Positive solutions of variational inequalities: A degree-theoretic approach
• On a class of variational inequalities involving gradient operators
• On the number of solutions of a nonlinear Dirichlet problem
• An elliptic problem with pointwise constraint on the Laplacians
• Multiple solutions of asymptotically homogeneous problems
• On the inversion of some differentiable mappings with singularities between Banach spaces
• Multiplicity of eigenvalues for the Laplace operator with respect to an obstacle, and nontangency conditions
• Sur la régularité de la solution d'inéquations elliptiques
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