Degree Theory for Operators of Monotone Type and Nonlinear Elliptic Equations with Inequality Constraints (Memoirs of the American Mathematical Society) - Softcover

Aizicovici, Sergiu; Papageorgiou, Nikolaos S.; Staicu, Vasile

Softcover

ISBN 10: 0821841920 ISBN 13: 9780821841921

Verlag: American Mathematical Society, 2008

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Reseña del editor

In the first part of this paper, the authors examine the degree map of multivalued perturbations of nonlinear operators of monotone type and prove that at a local minimizer of the corresponding Euler functional, this degree equals one. Then they use this result to prove multiplicity results for certain classes of unilateral problems with nonsmooth potential (variational-hemivariational inequalities). They also prove a multiplicity result for a nonlinear elliptic equation driven by the p-Laplacian with a nonsmooth potential (hemivariational inequality) whose subdifferential exhibits an asymmetric asymptotic behavior at $ \infty$ and $-\infty$.

Details zur Ausgabe

• Verlag: American Mathematical Society
• Erscheinungsdatum: 2008
• ISBN 10: 0821841920
• ISBN 13: 9780821841921
• Einband: Tapa blanda
• Sprache: Englisch
• Anzahl der Seiten: 70