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Article Contents

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

• 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.

Mathematics Subject Classification: Primary: 34B40; Secondary: 34B15, 34B16.

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