Quoc Anh Ngo, Hoang Quoc Toan
Abstract:
This article shows the existence of weak solutions in
to a class of Dirichlet problems of the form
in a bounded domain
of
.
Here a satisfies
for all
,
a.e.
,
,
,
for a.e. x in
;
is the first eigenvalue for
on
with zero Dirichlet
boundary condition and g, h satisfy some suitable conditions.
Submitted March 24, 2008. Published July 25, 2008.
Math Subject Classifications: 35J20, 35J60, 58E05.
Key Words: p-Laplacian; Non-uniform; Landesman-Laser type;
Divergence form.
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Quocc Anh Ngo Department of Mathematics, College of Science Vietnam National University, Hanoi, Vietnam email: bookworm_vn@yahoo.com, nqanh@vnu.edu.vn | |
Hoang Quoc Toan Department of Mathematics, College of Science Vietnam National University, Hanoi, Vietnam email: hq_toan@yahoo.com |
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