Concentration of solutions for a singularly perturbed Neumann problem in non-smooth domains

  • Serena Dipierro

    SISSA, Sector of Mathematical Analysis, Via Bonomea 265, 34136 Trieste, Italy

Abstract

We consider the equation in a bounded domain with edges. We impose Neumann boundary conditions, assuming , and prove concentration of solutions at suitable points of on the edges.

Cite this article

Serena Dipierro, Concentration of solutions for a singularly perturbed Neumann problem in non-smooth domains. Ann. Inst. H. Poincaré Anal. Non Linéaire 28 (2011), no. 1, pp. 107–126

DOI 10.1016/J.ANIHPC.2010.11.003