Topological Methods in Nonlinear Analysis

Concentration of solutions for a nonlinear elliptic problem with nearly critical exponent

Abstract

We construct solutions of the Dirichlet problem (1.1)-(1.3) concentrating at strict local maximum point of the coefficient $Q$ either at the boundary or in the interior of $\Omega$. We also prove the existence of solutions concentrating at an interior strict local minimum point of $Q$.

Article information

Source
Topol. Methods Nonlinear Anal., Volume 13, Number 2 (1999), 199-233.

Dates
First available in Project Euclid: 29 September 2016

https://projecteuclid.org/euclid.tmna/1475178879

Mathematical Reviews number (MathSciNet)
MR1742221

Zentralblatt MATH identifier
0956.35048

Citation

Chabrowski, Jan; Yan, Shusen. Concentration of solutions for a nonlinear elliptic problem with nearly critical exponent. Topol. Methods Nonlinear Anal. 13 (1999), no. 2, 199--233. https://projecteuclid.org/euclid.tmna/1475178879

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