On Some Semilinear Nonuniformly Elliptic Problems with Subcritical Nonlinearity Without the Ambrosetti and Rabinowitz Condition

The paper deals with the existence of weak solutions to the Dirichlet problem where Ω is a bounded domain in , N ≥3, λ is a positive parameter, , , f ( x , s ) is subcritical and does not have superquadratic behavior at infinity. The solutions are found by using the Mountain Pass Theorem correspondi...

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Bibliographic Details
Published in:Vietnam journal of mathematics 2014-03, Vol.42 (1), p.1-15
Main Authors: Hang, Trinh Thi Minh, Toan, Hoang Quoc
Format: Article
Language:English
Subjects:
Mathematics
Mathematics and Statistics
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Summary:The paper deals with the existence of weak solutions to the Dirichlet problem where Ω is a bounded domain in , N ≥3, λ is a positive parameter, , , f ( x , s ) is subcritical and does not have superquadratic behavior at infinity. The solutions are found by using the Mountain Pass Theorem corresponding to the Cerami compactness condition.
ISSN:2305-221X
2305-2228
DOI:10.1007/s10013-013-0031-5