Cristina Marcelli
Abstract:
This article concerns the existence and non-existence of solutions to
the strongly nonlinear non-autonomous boundary-value problem
with
,
where
is a general
increasing homeomorphism, with
,
a is a positive,
continuous function and f is a Caratheodory nonlinear function.
We provide sufficient conditions for the solvability which result
to be optimal for a wide class of problems. In particular,
we focus on the role played by the behaviors of
and
as
related to that of
and
as
.
Submitted September 3, 2012. Published October 4, 2012.
Math Subject Classifications: 34B40, 34C37, 34B15, 34L30.
Key Words: Boundary value problems; unbounded domains;
heteroclinic solutions; nonlinear differential operators;
p-Laplacian operator; Phi-Laplacian operator
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Cristina Marcelli Dipartimento di Scienze Matematiche Università Politecnica delle Marche Via Brecce Bianche, 60131 Ancona, Italy email: marcelli@dipmat.univpm.it |
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