Degree Theory for Operators of Monotone Type and Nonlinear Elliptic Equations With Inequality Constraints (Memoirs of the American Mathematical Society, Band 196) - Softcover

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

 
9780821841921: Degree Theory for Operators of Monotone Type and Nonlinear Elliptic Equations With Inequality Constraints (Memoirs of the American Mathematical Society, Band 196)
Softcover
ISBN 10: 0821841920 ISBN 13: 9780821841921
Verlag: American Mathematical Society, 2008

Inhaltsangabe

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 $-\infty$.

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Verlag
American Mathematical Society
Erscheinungsdatum
2008
Sprache
Englisch
ISBN 10 
0821841920
ISBN 13 
9780821841921
Einband
Taschenbuch
Anzahl der Seiten
70
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