Heteroclinic solutions for non-autonomous boundary value problems with singular Φ -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.