Title: Degree Theory for Operators of Monotone Type and Nonlinear Elliptic Equations With Inequality Constraints (Memoirs of the American Mathematical Society)
Publisher: Amer Mathematical Society
Publication Date: 2008
Language: English
ISBN 10: 0821841920
ISBN 13: 9780821841921
Binding: Paperback
Condition: Good
Dust Jacket Condition: No Jacket
Weight: 0.55 pounds

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 $-infty$.

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