Multiple solutions for an elliptic system on bounded and unbounded domains

DOI10.1016/J.NA.2003.10.004zbMath1187.35059OpenAlexW2060507907MaRDI QIDQ1879177

D. C. de Morais Filho, Olímpio Hiroshi Miyagaki, Claudianor Oliveira Alves

Publication date: 22 September 2004

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.2003.10.004

zbMATH Keywords

multiplicityunbounded domaincritical growthPalais-Smale

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Boundary value problems for first-order elliptic systems (35J56)

Related Items (12)

Effect of topology on the multiplicity of solutions for some semilinear elliptic systems with critical Sobolev exponent ⋮ Existence result for a class of nonlinear elliptic systems on punctured unbounded domains ⋮ Multiple solutions for \(p\)-Laplacian systems with critical homogeneous nonlinearity ⋮ Multiplicity results for fractional systems crossing high eigenvalues ⋮ Radial solutions for a class of Hénon type systems with partial interference with the spectrum ⋮ Nontrivial solutions for a class of Hamiltonian strongly degenerate elliptic system ⋮ Multiple solutions for a class of biharmonic elliptic systems with Sobolev critical exponent ⋮ Multiple symmetric results for singular quasilinear elliptic systems with critical homogeneous nonlinearity ⋮ Existence results for some nonlinear elliptic systems ⋮ Quasilinear elliptic system with coupling on nonhomogeneous critical term ⋮ The Nehari manifold approach for multiplicity of positive solutions to semilinear elliptic system involving multi-singular inverse square potentials with Sobolev critical exponent ⋮ Existence of infinitely many high energy solutions for a class of fractional Schrödinger systems

Cites Work

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• Critical growth problems for polyharmonic operators
• Principal Eigenvalues for Indefinite-Weight Elliptic Problems in R n
• Systems of_p-laplacean equations involving homogeneous nonlinearities with critical sobolev exponent degrees
• Extrema problems with critical sobolev exponents on unbounded domains

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