Critical growth fractional elliptic systems with exponential nonlinearity

DOI10.1016/j.na.2016.02.003zbMath1335.35277OpenAlexW2290475119MaRDI QIDQ266683

Pawan Kumar Mishra, Jacques Giacomoni, Konijeti Sreenadh

Publication date: 13 April 2016

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.2016.02.003

zbMATH Keywords

Trudinger-Moser inequalityexponential nonlinearityfractional elliptic systems

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Second-order elliptic systems (35J47) First-order elliptic systems (35J46) Positive solutions to PDEs (35B09) Fractional partial differential equations (35R11)

Related Items (9)

Solutions for a class of fractional Hamiltonian systems with exponential growth ⋮ Ground state solutions for a fractional system involving critical non-linearities ⋮ Critical nonlocal systems with concave-convex powers ⋮ Doubly nonlocal system with Hardy-Littlewood-Sobolev critical nonlinearity ⋮ On doubly nonlocal \(p\)-fractional coupled elliptic system ⋮ Fractional Hamiltonian type system on \(\mathbb{R}\) with critical growth nonlinearity ⋮ On solutions for fractional \(N/s\)-Laplacian equations involving exponential growth ⋮ Nehari manifold for fractional Kirchhoff systems with critical nonlinearity ⋮ On solutions for a class of fractional Kirchhoff-type problems with Trudinger–Moser nonlinearity

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