Multiplicity of 1D-concentrating positive solutions to the Dirichlet problem for equation with $p$-Laplacian

Abstract

We prove the multiplicity of spike-layer type solutions to the Dirichlet problem for the equation $-{\Delta }_{p}u=u^{q-1}$ in expanding annuli.

Cited by in corpus (1)

• Solutions with various structures for semilinear equations in ${\mathbb{R}}^n$ driven by fractional Laplacian