On the existence and profile of multi-peaked solutions to singularly perturbed semilinear Dirichlet problems

199655 citationsJournal Article

Authors

Abstract

Multi-peaked solutions to a singularly perturbed elliptic equation on a bounded domain $\Omega$ are constructed, provided the distance function $d(x, \delta\Omega)$ has more than one strict local maximum.

Topics & Keywords

Differential Equations and Numerical Methods Advanced Mathematical Modeling in Engineering Nonlinear Partial Differential Equations

UN Sustainable Development Goals

Reduced inequalities

Publication Details

Published in: Discrete and Continuous Dynamical Systems

Volume 2, Issue 2, pp. 221-236

DOI: 10.3934/dcds.1996.2.221

Field-Weighted Citation Impact: 6.67