An Eigenvalue Problem for a Quasilinear Elliptic Field Equation
β Scribed by V. Benci; A.M. Micheletti; D. Visetti
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 198 KB
- Volume
- 184
- Category
- Article
- ISSN
- 0022-0396
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## Abstract In a recent paper, Agranovich, Denk, and Faierman developed a method for deriving results pertaining to the eigenvalue asymptotics for scalar elliptic boundary problems involving a weight function under limited smoothness assumptions and under an ellipicity with parameter condition. Den
Existence and uniqueness results for large positive solutions are obtained for a class of quasilinear elliptic eigenvalue problems in general bounded smooth domains via a generalization of a sweeping principle of Serrin. The nonlinear terms of the problems can be negative in some intervals. The exis