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

Jan Chabrowski, Shusen Yan

DOI: http://dx.doi.org/10.12775/TMNA.1999.011

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 $Q$.

Keywords


Dirichlet problem; critical Sobolev exponent

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