Existence of positive solutions to semilinear elliptic systems with supercritical growth

DOI10.1080/03605302.2016.1190376zbMath1354.35036OpenAlexW2469065608MaRDI QIDQ2833269

Congming Li, John Villavert

Publication date: 17 November 2016

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://scholarworks.utrgv.edu/mss_fac/50

zbMATH Keywords

degree theoryshooting methodSchrödinger systementire solutionsexistence theoryLane-Emden systemHénon system

Mathematics Subject Classification ID

Second-order elliptic systems (35J47) Positive solutions to PDEs (35B09) Entire solutions to PDEs (35B08)

Related Items (14)

Existence and non-existence results for the higher order Hardy-Hénon equations revisited ⋮ A necessary condition for certain integral equations with negative exponents ⋮ On the Hardy-Littlewood-Sobolev type systems ⋮ Non-synchronized solutions to nonlinear elliptic Schrödinger systems on a closed Riemannian manifold ⋮ Liouville type theorems for general weighted integral system with negative exponents ⋮ Existence and non-existence results for cooperative elliptic systems without variational structure ⋮ Liouville‐type results for a class of quasilinear elliptic systems and applications ⋮ Existence of solutions to the supercritical Hardy-Littlewood-Sobolev system with fractional Laplacians ⋮ On problems with weighted elliptic operator and general growth nonlinearities ⋮ Classification of positive solutions to a Lane-Emden type integral system with negative exponents ⋮ Classification of radial solutions to equations related to Caffarelli-Kohn-Nirenberg inequalities ⋮ Decay estimates and symmetry of finite energy solutions to elliptic systems in \mathbb{R}^n ⋮ Optimal Liouville-type theorems for polyharmonic elliptic gradient systems and applications ⋮ Liouville type theorem for weighted integral system with negative exponents

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