On the profile of the changing sign mountain pass solutions for an elliptic problem

Dancer, E.; Yan, Shusen

doi:10.1090/S0002-9947-02-03026-X

On the profile of the changing sign mountain pass solutions for an elliptic problem
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by E. N. Dancer and Shusen Yan PDF

Trans. Amer. Math. Soc. 354 (2002), 3573-3600 Request permission

Abstract:

We consider nonlinear elliptic equations with small diffusion and Dirichlet boundary conditions. We construct changing sign solutions with peaks close to the boundary and consider the location of the peak.

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