A new type of concentration solutions for a singularly perturbed elliptic problem

Dancer, E.; Yan, Shusen

doi:10.1090/S0002-9947-06-04386-8

A new type of concentration solutions for a singularly perturbed elliptic problem
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by E. N. Dancer and Shusen Yan PDF

Trans. Amer. Math. Soc. 359 (2007), 1765-1790 Request permission

Abstract:

We prove the existence of positive solutions concentrating on some higher dimensional manifolds near the boundary of the domain for a nonlinear singularly perturbed elliptic problem.

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