# American Institute of Mathematical Sciences

2009, 2009(Special): 118-122. doi: 10.3934/proc.2009.2009.118

## Heteroclinic solutions for non-autonomous boundary value problems with singular $\Phi$-Laplacian operators

 1 University of Santiago de Compostela, Department of Mathematical Analysis, Santiago de Compostela, Galicia, Spain 2 Departamento de Matemáticas, Universidad de Jaén, Campus Las Lagunillas, Jaén, Spain

Received  July 2008 Revised  February 2009 Published  September 2009

We prove the solvability of the following boundary value problem on the real line

$\Phi(u'(t))'=f(t,u(t),u'(t))$       on $\mathbb{R}$,
$u(-\infty)=-1,$       $u(+\infty)=1,$

with a singular $\Phi$-Laplacian operator.
We assume $f$ to be a continuous function that satisfies suitable symmetry conditions. Moreover some growth conditions in a neighborhood of zero are imposed.

Citation: Alberto Cabada, J. Ángel Cid. Heteroclinic solutions for non-autonomous boundary value problems with singular $\Phi$-Laplacian operators. Conference Publications, 2009, 2009 (Special) : 118-122. doi: 10.3934/proc.2009.2009.118
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