Multiplicity and concentration of positive solutions for semilinear elliptic equations with steep potential

DOI10.3934/cpaa.2016044zbMath1353.35134OpenAlexW2531764633MaRDI QIDQ334524

Tsung-fang Wu, Yi-hsin Cheng

Publication date: 1 November 2016

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2016044

zbMATH Keywords

variational methodssemilinear elliptic problemsconcave-convex nonlinearitiessteep potential

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Variational methods for second-order elliptic equations (35J20) Semilinear elliptic equations (35J61) Positive solutions to PDEs (35B09)

Related Items (11)

Existence and multiplicity of solutions for Schrödinger equations with sublinear nonlinearities ⋮ Multiplicity and concentration results for fractional Schrödinger system with steep potential wells ⋮ Multiplicity and concentration of solutions for nonlinear fractional elliptic equations with steep potential ⋮ Multiplicity results for variable-order nonlinear fractional magnetic Schrödinger equation with variable growth ⋮ The Nehari manifold for the Schrödinger–Poisson systems with steep well potential ⋮ Solutions to a fourth-order elliptic equation with steep potential ⋮ Variational approach for the variable-order fractional magnetic Schrödinger equation with variable growth and steep potential in \(\mathbb{R}^N\) ⋮ Multiplicity results of nonlinear fractional magnetic Schrödinger equation with steep potential ⋮ On the semilinear fractional elliptic equations with singular weight functions ⋮ Choquard equations via nonlinear Rayleigh quotient for concave-convex nonlinearities ⋮ Ground states of nonlocal fractional Schrödinger equations with potentials well

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