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Multipulse states in the Swift-Hohenberg equation
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 |
$\Phi(u'(t))'=f(t,u(t),u'(t))$ 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.
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