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

Publisher: American Mathematical Society, 2008

Synopsis

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 $-\infty$.

Edition details

• Publisher: American Mathematical Society
• Publication date: 2008
• ISBN 10: 0821841920
• ISBN 13: 9780821841921
• Binding: Paperback
• Language: English
• Number of pages: 70