Critical system involving fractional Laplacian

DOI10.3934/cpaa.2019013zbMath1401.35071arXiv1703.07615OpenAlexW2964039017WikidataQ129353371 ScholiaQ129353371MaRDI QIDQ1615701

Haoyun Xu, Maoding Zhen, Jinchun He

Publication date: 31 October 2018

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

Full work available at URL: https://arxiv.org/abs/1703.07615

zbMATH Keywords

Nehari manifoldfractional Laplacian systempositive least energy solution

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Variational methods for elliptic systems (35J50) Positive solutions to PDEs (35B09) Fractional partial differential equations (35R11)

Related Items (10)

Solutions for a class of fractional Hamiltonian systems with exponential growth ⋮ Multiple positive solutions for nonlinear coupled fractional Laplacian system with critical exponent ⋮ Multiple solutions for a coupled Kirchhoff system with fractionalp-Laplacian and sign-changing weight functions ⋮ Multiplicity of Solutions to a p-q Fractional Laplacian System with Concave Singular Nonlinearities ⋮ Spiked solutions for fractional Schrödinger systems with Sobolev critical Exponent ⋮ On critical fractional systems with Hardy-Littlewood-Sobolev nonlinearities ⋮ Unnamed Item ⋮ The Nehari manifold for fractionalp-Laplacian system involving concave–convex nonlinearities and sign-changing weight functions ⋮ Normalized solutions for nonlinear coupled fractional systems: low and high perturbations in the attractive case ⋮ Positive least energy solutions for \(k\)-coupled critical systems involving fractional Laplacian

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