Sarika Goyal, Konijeti Sreenadh
Abstract:
In this article, we study the existence and multiplicity of
non-negative solutions of the
-Laplacian equation
where
is a bounded domain in
,
,
,
and
. By
minimization on a suitable subset of the Nehari manifold, and using
fiber maps, we find conditions on
,
for the existence and multiplicity of solutions, when
and
are sign
changing and unbounded functions.
Submitted May 23, 2013. Published January 8, 2014.
Math Subject Classifications: 35J35, 35J60, 35J92.
Key Words: Quasilinear problem; critical exponent;
Trudinger-Moser embedding; sign-changing weight function.
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Sarika Goyal Department of Mathematics Indian Institute of Technology Delhi Hauz Khaz, New Delhi-16, India email: sarika1.iitd@gmail.com} | |
Konijeti Sreenadh Department of Mathematics Indian Institute of Technology Delhi Hauz Khaz, New Delhi-16, India email: sreenadh@maths.iitd.ac.in |
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