Uriel Kaufmann, Ivan Medri
Abstract:
We study the existence and nonexistence of strictly positive solutions
for the elliptic problems
in a bounded open interval,
with zero boundary conditions, where
is a strongly uniformly
elliptic differential operator,
, and
is a function
that changes sign. We also characterize the set of values
for which the problem admits a solution, and in addition an existence
result for other nonlinearities is presented.
Submitted June 26, 2013. Published May 14, 2014.
Math Subject Classifications: 34B15, 34B18, 35J25, 35J61.
Key Words: Elliptic one-dimensional problems; indefinite nonlinearities;
sub and supersolutions; positive solutions.
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Uriel Kaufmann FaMAF, Universidad Nacional de Córdoba, (5000) Córdoba, Argentina email: kaufmann@mate.uncor.edu | |
Iván Medri FaMAF, Universidad Nacional de Córdoba, (5000) Córdoba, Argentina email: medri@mate.uncor.edu |
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