Lorentz-Sobolev spaces and systems of Schrödinger equations in \(\mathbb R^N\)

DOI10.1016/j.na.2008.12.016zbMath1165.35010OpenAlexW2012531838WikidataQ59278484 ScholiaQ59278484MaRDI QIDQ1017720

Daniele Cassani

Publication date: 12 May 2009

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

Full work available at URL: https://doi.org/10.1016/j.na.2008.12.016

zbMATH Keywords

Schrödinger equationselliptic systemscritical growthTrudinger-Moser inequalityLorentz spaceslimiting Sobolev's embeddings

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) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items

Equivalent Moser type inequalities in \(\mathbb{R}^2\) and the zero mass case, Maximal Estimates of Schrödinger Equations on Rearrangement Invariant Sobolev Spaces, On a Hamiltonian system with critical exponential growth, Sharp convex Lorentz-Sobolev inequalities, Existence of solitary waves for supercritical Schrödinger systems in dimension two

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