Concentrating solutions for a magnetic Schrödinger equation with critical growth

DOI10.1016/j.jmaa.2019.06.070zbMath1420.35028OpenAlexW2955836463MaRDI QIDQ2320126

Vincenzo Ambrosio

Publication date: 21 August 2019

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2019.06.070

zbMATH Keywords

magnetic Laplacianpenalization techniques

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Variational methods for second-order elliptic equations (35J20) Semilinear elliptic equations (35J61)

Related Items (11)

The multiplicity and concentration of positive solutions for the Kirchhoff-Choquard equation with magnetic fields ⋮ Multiple solutions for singularly perturbed nonlinear magnetic Schrödinger equations ⋮ New critical point theorem and infinitely many small-magnitude solutions of a nonlinear Iwatsuka model ⋮ Multiplicity and concentration of solutions for a class of magnetic Schrödinger-Poisson system with double critical growths ⋮ Ground‐state solutions of Schrödinger‐type equation with magnetic field ⋮ On the fractional Schrödinger equations with critical nonlinearity ⋮ A new critical point theorem and small magnitude solutions of magnetic Schrödinger equations with Landau levels ⋮ Concentration phenomena for a class of fractional Kirchhoff equations in \(\mathbb{R}^N\) with general nonlinearities ⋮ An existence result for a class of magnetic problems in exterior domains ⋮ Existence and multiplicity results for the fractional magnetic Schrödinger equations with critical growth ⋮ Existence of entire solutions for critical Sobolev–Hardy problems involving magnetic fractional operator

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