Duong Minh Duc
Abstract:
We study the existence of non-trivial weak solutions in
of the super-linear Dirichlet problem
where f satisfies the condition
where
,
and
may be non-integrable on
.
Submitted May 8, 2017. Published October 10, 2017.
Math Subject Classifications: 46E35, 35J20.
Key Words: Nemytskii operators; p-Laplacian; multiplicity of solutions;
mountain-pass theorem.
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Duong Minh Duc University of Sciences Vietnam National University 227 Nguyen Van Cu Q5 Hochiminh City, Vietnam email: dmduc@hcmus.edu.vn |
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