Nguyen Thanh Chung
Abstract:
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 email: ntchung82@yahoo.com |
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