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Item Details
| Title:
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DEGREE THEORY FOR OPERATORS OF MONOTONE TYPE AND NONLINEAR ELLIPTIC EQUATIONS WITH INEQUALITY CONSTRAINTS
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| By: |
Sergiu Aizicovici, Nikolaos S. Papageorgiou, Vasile Staicu |
| Format: |
Paperback |
| List price:
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£61.00 |
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We currently do not stock this item, please contact the publisher directly for
further information.
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| ISBN 10: |
0821841920 |
| ISBN 13: |
9780821841921 |
| Publisher: |
AMERICAN MATHEMATICAL SOCIETY |
| Pub. date: |
1 November, 2008 |
| Edition: |
New ed. |
| Series: |
Memoirs of the American Mathematical Society 196, 915 |
| Pages: |
70 |
| Description: |
Examines 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. This paper uses this result to prove multiplicity results for certain classes of unilateral problems with nonsmooth potential. |
| 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 $-\infty$. |
| Publication: |
US |
| Imprint: |
American Mathematical Society |
| Returns: |
Returnable |
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