V. Raghavendra, Rasmita Kar
Abstract:
In this article, we study the existence of a classical solution of
semilinear elliptic BVP involving gradient term of the type
where
is a (not necessarily bounded) domain in
,
with smooth boundary
.
,
and
satisfies certain conditions
(well known in the literature as "jumping nonlinearity").
Submitted October 10, 2011. Published October 16, 2014.
Math Subject Classifications: 35J65, 35J25.
Key Words: Monotone method; Ambrosetti-prodi type problem; unbounded domain.
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Venkataramanarao Raghavendra Department of Mathematics and Statistics Indian Institute of Technology Kanpur 208016, India email: vrag@iitk.ac.in | |
Rasmita Kar Department of Mathematics and Statistics Indian Institute of Technology Kanpur 208016, India email: rasmitak6@gmail.com |
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