Bhatia Sumit Kaur, K. Sreenadh
Abstract:
Let
be a bounded domain with
boundary. In this paper, we are interested in the problem
where
,
,
,
and
is a H\"older continuous function on
.
Here
is a
having
superlinear growth at infinity. Using variational methods we show
that there exists
such that above problem
admits at least two solutions in
if
, no solution if
and at least
one solution when
.
Submitted August 26, 2008. Published March 24, 2009.
Math Subject Classifications: 34B15, 35J60
Key Words: Multiplicity; nonlinear Neumann boundary condition;
Laplace equation.
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Bhatia Sumit Kaur Department of Mathematics Indian Institute of Technology Delhi Hauz Khaz New Delhi-16, India email: sumit2212@gmail.com | |
Konijeti Sreenadh Department of Mathematics Indian Institute of Technology Delhi Hauz Khaz New Delhi-16, India email: sreenadh@gmail.com |
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