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

E. N. Dancer, Shusen Yan
2002 Transactions of the American Mathematical Society  
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.
doi:10.1090/s0002-9947-02-03026-x fatcat:sr4tn5ylanbxzhkikcni57zdlm