Degree theory for operators of monotone type and nonlinear elliptic equations with inequality constraints. Memoirs of the American Mathematical Society; 915.

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

ISBN 10: 0821841920 / ISBN 13: 9780821841921

Published by Providence, American Mathematical Society, 2008

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Ex-library in GOOD condition with library-signature and stamp(s). Some traces of use. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. C-00431 9780821841921 Sprache: Englisch Gewicht in Gramm: 150. Seller Inventory # 2482942

Bibliographic Details

Title: Degree theory for operators of monotone type...

Publisher: Providence, American Mathematical Society

Publication Date: 2008

Binding: Softcover

About this title

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 $-\infty$.