On Some Elliptic Interface Problems with Nonhomogeneous Jump Conditions

T. Gnana Bhaskar; Kanishka Perera

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arXiv · 1303.4760

On Some Elliptic Interface Problems with Nonhomogeneous Jump Conditions

T. Gnana Bhaskar·Kanishka Perera

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Abstract

We obtain nontrivial solutions of some elliptic interface problems with nonhomogeneous jump conditions that arise in localized chemical reactions and nonlinear neutral inclusions. Our proofs in bounded domains use Morse theoretical arguments, in particular, critical group computations. An extension to the whole space is proved using concentration compactness arguments.

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T. Gnana Bhaskar, Kanishka Perera. 2013-04-09. On Some Elliptic Interface Problems with Nonhomogeneous Jump Conditions. https://arxiv.org/abs/1303.4760

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