Problèmes variationnels et théorie du potentiel non linéaire

DOI10.5802/afst.532zbMath0418.49012OpenAlexW2331347059MaRDI QIDQ3851191

Hedy Attouch, Colette Picard

Publication date: 1979

Published in: Annales de la faculté des sciences de Toulouse Mathématiques (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AFST_1979_5_1_2_89_0

zbMATH Keywords

nonlinear potential theorysubdifferential of a convex functionBanach-Dirichlet spacesvariational inequalities with thin obstacle

Mathematics Subject Classification ID

Variational inequalities (49J40) Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) Dirichlet forms (31C25) Potentials and capacities on other spaces (31C15)

Related Items

Nonlinear potentials in function spaces, On the dual formulation of obstacle problems for the total variation and the area functional, Integral representation of convex functions on a space of measures, Convergence of unilateral convex sets in higher order Sobolev spaces, Gamma-limits of obstacles, Asymptotic behaviour of contact problems between two elastic materials through a fractal interface, Reflected BSDEs and the obstacle problem for semilinear PDEs in divergence form, Bifurcation problems for nonlinear elliptic variational inequalities, A characterization of \(C^ 1\)-convex sets in Sobolev spaces, Unilateral problems with measure data., Quasi-regular Dirichlet forms and the obstacle problem for elliptic equations with measure data, Inequations variationnelles avec obstacles et espaces fonctionnels en theorie du potentiei, Existence and uniqueness of solutions for nonlinear obstacle problems with measure data, Stability results for obstacle problems with measure data, Convergence of unilateral problems for monotone operators, Some necessary and sufficient conditions for the convergence of sequences of unilateral convex sets

Cites Work

• Functional spaces and functional completion
• Lectures on potential theory. Notes by K. N. Gowrisankaran and M. K. Venkatesha Murthy
• The gradient of a convex function on a regular functional space and its potential theoretic properties
• Contrôle dans les inéquations variationelles elliptiques
• Capacity theory in Banach spaces
• Theory of capacities
• DIRICHLET SPACES
• Potential theoretic properties of the gradient of a convex function on a functional space
• Application des méthodes de convexité et monotonie a l'étude de certaines équations quasi linéaires
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