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One-Sided Resonance Problems for Quasilinear Elliptic Operators

โœ Scribed by Stephen B. Robinson; Adolfo J. Rumbos; Victor L. Shapiro


Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
123 KB
Volume
256
Category
Article
ISSN
0022-247X

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โœฆ Synopsis


We present some new existence results for a quasilinear elliptic problem with an unbounded driving force. The quasilinear elliptic operator is assumed to be variational and is such that 0 acts like an isolated eigenvalue with a corresponding eigenfunction which does not change sign. The driving force is further assumed to be in one-sided resonance around the eigenvalue 0, and a solvability condition of potential type is imposed. Variational methods are used to obtain existence. Our results significantly improve earlier results of the authors.


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