Weighted elliptic systems of Lane-Emden type in unbounded domains

DOI10.1007/s00009-011-0149-1zbMath1255.35095OpenAlexW2050087501MaRDI QIDQ1758624

Sara Barile, Addolorata Salvatore

Publication date: 15 November 2012

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-011-0149-1

zbMATH Keywords

compact imbeddingfourth 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) Variational methods for elliptic systems (35J50) Weak solutions to PDEs (35D30) Higher-order elliptic systems (35J48)

Related Items (4)

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 ⋮ Multiplicity results for some perturbed elliptic problems in unbounded domains with non-homogeneous boundary conditions

Cites Work

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• Multiple solutions for elliptic systems with nonlinearities of arbitrary growth
• Infinitely many solutions for symmetric and non-symmetric elliptic systems
• Discreteness conditions of the spectrum of Schrödinger operators
• 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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