Positive ground states for a system of Schrödinger equations with critically growing nonlinearities

DOI10.1007/S00526-014-0770-5zbMath1317.35067arXiv1403.3211OpenAlexW1974931285MaRDI QIDQ2349169

Pietro D'Avenia, Jarosław Mederski

Publication date: 19 June 2015

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

Full work available at URL: https://arxiv.org/abs/1403.3211

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Variational methods for elliptic systems (35J50) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Boundary value problems for second-order elliptic systems (35J57)

Related Items (7)

Ground state solutions for a class of semilinear elliptic systems with sum of periodic and vanishing potentials ⋮ Ground state solutions for a fractional system involving critical non-linearities ⋮ On the existence of positive least energy solutions for a coupled Schrödinger system with critical exponent ⋮ The fractional Schrödinger equation with Hardy-type potentials and sign-changing nonlinearities ⋮ On a class of coupled Schrödinger systems with critical Sobolev exponent growth ⋮ Ground state of semilinear elliptic systems with sum of periodic and Hardy potentials ⋮ Positive ground state solutions for a nonlinearly coupled Schrödinger system with critical exponents in \(\mathbb{R}^4\)

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