Elliptic systems in unbounded domains

DOI10.1080/17476933.2010.487213zbMath1236.35042OpenAlexW1990048352MaRDI QIDQ3096898

Addolorata Salvatore, Anna Maria Candela

Publication date: 15 November 2011

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2010.487213

zbMATH Keywords

compact embeddingfourth-order elliptic equationnonlinear elliptic system of Lane-Emden typevariational tools

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Nonlinear elliptic equations (35J60) Variational methods for elliptic systems (35J50) Variational methods for higher-order elliptic equations (35J35) Second-order elliptic systems (35J47)

Related Items

Existence and multiplicity for quasi-critical fourth order quasilinear problems with generalized vanishing potentials ⋮ Existence and multiplicity results for some elliptic systems in unbounded cylinders ⋮ Some new results on subquadratic Lane-Emden elliptic systems ⋮ Existence of radial bounded solutions for some quasilinear elliptic equations in \(\mathbb{R}^N\)

Cites Work

• Unnamed Item
• The principle of symmetric criticality
• Multiple solutions for elliptic systems with nonlinearities of arbitrary growth
• Infinitely many solutions for symmetric and non-symmetric elliptic systems
• Existence of solitary waves in higher dimensions
• Dual variational methods in critical point theory and applications
• Multiplicity of solutions for a fourth-order quasilinear nonhomogeneous equation
• Elliptic systems with nonlinearities of arbitrary growth

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