Multiple positive solutions for semilinear elliptic systems involving subcritical nonlinearities in \(\mathbb R^ N\)

DOI10.1186/1687-2770-2012-118zbMath1280.35039OpenAlexW2023635036WikidataQ59272651 ScholiaQ59272651MaRDI QIDQ384449

Huei-li Lin

Publication date: 27 November 2013

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-2770-2012-118

zbMATH Keywords

semilinear elliptic systemsNehari manifoldsubcritical exponents

Mathematics Subject Classification ID

Semilinear elliptic equations (35J61) Second-order elliptic systems (35J47) Positive solutions to PDEs (35B09)

Related Items (1)

Existence of solutions for perturbed elliptic system with critical exponents

Cites Work

• Multiple positive solutions for a critical quasilinear elliptic system with concave-convex nonlinearities
• Symmetry and related properties via the maximum principle
• On the existence of a positive solution of semilinear elliptic equations in unbounded domains
• On systems of elliptic equations involving subcritical or critical Sobolev exponents
• The Nehari manifold for a semilinear elliptic system involving sign-changing weight functions
• Spikes in two coupled nonlinear Schrödinger equations
• Multiple positive solutions of nonhomogeneous elliptic systems involving critical Sobolev exponents
• Multiple positive solutions of nonhomogeneous semilinear elliptic equations in ℝ^N

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