Quasilinear elliptic inclusions of Clarke's gradient type under local growth conditions

International Journal of Phytoremediation

Volumn 85, Issue 12, 2006, Pages 1527-1540

  Carl, S ^a   Motreanu, D ^b  

^a MARTIN LUTHER UNIVERSITY HALLE WITTENBERG   (Germany)

^b UNIVERSITÉ DE PERPIGNAN   (France)

Author keywords

35R05; 49J52; 49J53; AMS Subject Classifications: 35J60; Clarke's generalized gradient; Elliptic inclusions; Multivalued pseudomonotone operators; One sided local growth conditions; P Laplacian; Sub supersolution

Indexed keywords

EID: 44649096584     PISSN: 15226514     EISSN: 15497879     Source Type: Journal    
DOI: 10.1080/00036810601084130     Document Type: Article

References (6)

1. Clarke, FH. 1990. Optimization and Nonsmooth Analysis, Philadelphia: SIAM.
2. Carl, S, Le, Vy.K, and Motreanu, D. 2006. Nonsmooth Variational Problems and Their Inequalities: Comparison Principles and Applications, New York: Springer-Verlag.
3. Carl, S. 2003. “ Existence and compactness results for quasilinear elliptic hemivariational inequalities ”. In Nonlinear Analysis and Applications: To V. Lakshmikantham on his 80th Birthday, Edited by: Agarwal, R, and O'Regan, D. 321–340. Dordrecht: Kluwer Academic Publishers.
4. Carl, S, and Motreanu, D. 2003. Extremal solutions of quasilinear parabolic inclusions with generalized Clarke's gradient. Journal of Differential Equations, 191: 206–233.
5. Naniewicz, Z, and Panagiotopoulos, PD. 1995. Mathematical Theory of Hemivariational Inequalities and Applications, New York: Marcel Dekker.
6. Carl, S, and Motreanu, D. 2003. Quasilinear elliptic inclusions of hemivariational type: extremality and compactness of the solution set. Journal of Mathematical Analysis and Applications, 286: 147–159.