Existence of solitary waves for supercritical Schrödinger systems in dimension two

DOI10.1007/s00526-015-0840-3zbMath1327.35099OpenAlexW1990172411WikidataQ59278466 ScholiaQ59278466MaRDI QIDQ745565

Cristina Tarsi, Daniele Cassani

Publication date: 14 October 2015

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00526-015-0840-3

zbMATH Keywords

solitary wavesTrudinger-Moser inequalitydimension two

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Variational methods for elliptic systems (35J50)

Related Items (13)

Hamiltonian elliptic systems in dimension two with potentials which can vanish at infinity ⋮ Existence and non-existence results for variational higher order elliptic systems ⋮ Existence of solution for a nonvariational elliptic system with exponential growth in dimension two ⋮ A class of Schrödinger elliptic equations involving supercritical exponential growth ⋮ Some existence results for elliptic systems with exponential nonlinearities and convection terms in dimension two ⋮ Existence of solution for a class of fractional Hamiltonian-type elliptic systems with exponential critical growth in R ⋮ Singular Hamiltonian elliptic systems with critical exponential growth in dimension two ⋮ Hamiltonian elliptic systems in dimension two with arbitrary and double exponential growth conditions ⋮ Ground state solutions of Hamiltonian elliptic systems in dimension two ⋮ On a Hamiltonian system with critical exponential growth ⋮ Admissible solutions to Hessian equations with exponential growth ⋮ Ground states for planar Hamiltonian elliptic systems with critical exponential growth ⋮ Lorentz-Sobolev spaces and systems of Schrödinger equations in \(\mathbb R^N\)

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