Singularly perturbed elliptic problems with nonautonomous asymptotically linear nonlinearities

DOI10.1016/j.na.2014.09.030zbMath1310.35119arXiv1405.7166OpenAlexW2010220851MaRDI QIDQ2258936

Benedetta Pellacci, Liliane A. Maia, Eugenio Montefusco

Publication date: 27 February 2015

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1405.7166

zbMATH Keywords

Schrödinger equationssingularly perturbed elliptic equationconcentration phenomenapenalization methodsasymptotically linear nonlinearitiessaturable media

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Semilinear elliptic equations (35J61)

Related Items (6)

Existence and concentration of positive solutions to a fractional system with saturable term ⋮ Existence and concentration of positive solutions for a system of coupled saturable Schrödinger equations ⋮ Localization of normalized solutions for saturable nonlinear Schrödinger equations ⋮ Existence and concentration of ground states for saturable nonlinear Schrödinger equations with intensity functions in \(\mathbb{R}^2\) ⋮ Orbital stability and energy estimate of ground states of saturable nonlinear Schrödinger equations with intensity functions in \(\mathbb{R}^2\) ⋮ Normalized multi-bump solutions for saturable Schrödinger equations

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