Existence of weak solutions for a class of nonuniformly nonlinear elliptic equations in unbounded domains

The goal of this paper is to study the existence of non-trivial weak solutions for the nonuniformly nonlinear elliptic equation − div ( h ( x ) ∇ u ) + q ( x ) u = f ( x , u ) in an unbounded domain Ω ⊂ R N ( N ≥ 3 ) , where h ( x ) ∈ L loc 1 ( Ω ) . The solutions will be obtained in a subspace of t...

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Veröffentlicht in:	Nonlinear analysis 2009-06, Vol.70 (11), p.3987-3996
Hauptverfasser:	Toan, Hoang Quoc, Chung, Nguyen Thanh
Format:	Artikel
Sprache:	eng
Schlagworte:	Exact sciences and technology Mathematical analysis Mathematics Mountain pass theorem Nonuniformly elliptic equations Partial differential equations Sciences and techniques of general use The weakly continuously differentiable functional
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