Multiple positive solutions of strongly indefinite systems with critical Sobolev exponents and data that change sign

DOI10.1016/j.na.2004.02.029zbMath1163.35376OpenAlexW2094938759MaRDI QIDQ1877869

Pigong Han, Zhaoxia Liu

Publication date: 19 August 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.2004.02.029

zbMATH Keywords

existenceuniquenessSobolev exponentpositive solutionHamiltonian system

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Nonlinear elliptic equations (35J60)

Related Items (11)

Existence of solutions for thep-Laplacian with critical Sobolev exponent and convection ⋮ On the existence of positive solutions for a nonhomogeneous elliptic system ⋮ Multiple positive solutions for a Hamiltonian system with an indefinite data function ⋮ Existence of positive solutions of four-point BVPs for singular generalized Lane-Emden systems on whole line ⋮ POSITIVE SOLUTIONS FOR A FOURTH-ORDER QUASILINEAR EQUATION WITH CRITICAL SOBOLEV EXPONENT ⋮ A variational approach to an inhomogeneous second-order ordinary differential system ⋮ A variational formulation approach to a generalized coupled inhomogeneous Emden–Fowler system ⋮ Multiplicity of solutions for a fourth-order quasilinear nonhomogeneous equation ⋮ Threshold results for semilinear parabolic systems ⋮ A positive solution for some critical \(p\)-Laplacian systems ⋮ Existence of positive solutions of four-point BVPs for one-dimensional generalized Lane-Emden systems on whole line

Cites Work

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• On Superquadratic Elliptic Systems
• Strongly indefinite systems with critical Sobolev exponents
• Nonnegative Solutions of the Radial Laplacian with Nonlinearity that Changes Sign
• Asymptotic behaviour of ground states

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