Heteroclinic solutions of Allen-Cahn type equations with a general elliptic operator
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Heteroclinic solutions, Allen-Cahn equationAbstrakt
We consider a generalization of the Allen-Cahn type equation in divergence form $-\rom{div}(\nabla G(\nabla u(x,y)))+F_u(x,y,u(x,y))=0$. This is more general than the usual Laplace operator. We prove the existence and regularity of heteroclinic solutions under standard ellipticity and $m$-growth conditions.Bibliografia
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