Nguyen Thanh Chung
We study the nonuniformly elliptic, nonlinear system
Under growth and regularity conditions on the nonlinearities f and g, we obtain weak solutions in a subspace of the Sobolev space by applying a variant of the Mountain Pass Theorem.
Submitted March 27, 2008. Published August 25, 2008.
Math Subject Classifications: 35J65, 35J20.
Key Words: Nonuniformly elliptic; nonlinear systems; mountain pass theorem; weakly continuously differentiable functional.
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| Nguyen Thanh Chung |
Department of Mathematics and Informatics
Quang Binh University, 312 Ly Thuong Kiet, Dong Hoi, Vietnam
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