Existence of Solutions for Some Classes of Singular Hamiltonian Systems

DOI10.1515/ans-2005-0206zbMath1177.35088OpenAlexW2509253014MaRDI QIDQ4675944

Claudianor Oliveira Alves, Francisco Julio Sobreira de Araujo Correa, José Valdo A. Goncalves

Publication date: 6 May 2005

Published in: Advanced Nonlinear Studies (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ans-2005-0206

zbMATH Keywords

Galerkin methodpositive solutionsingular elliptic systems

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Nonlinear boundary value problems for linear elliptic equations (35J65)

Related Items (12)

Kirchhoff type equations with strong singularities ⋮ Multiple positive solutions for a class of quasilinear singular elliptic systems ⋮ On the existence of positive solution for a class of singular systems involving quasilinear operators ⋮ Ground and bound state solutions for quasilinear elliptic systems including singular nonlinearities and indefinite potentials ⋮ Existence of solution for a class of integro-differential sublinear problems with strong singularity ⋮ Positive solutions for singular elliptic systems with convection term ⋮ Extremal regions and multiplicity of positive solutions for singular superlinear elliptic systems with indefinite-sign potential ⋮ Singular quasilinear elliptic systems involving gradient terms ⋮ Existence of positive solutions for a class of singular and quasilinear elliptic problems with critical exponential growth ⋮ Multiple solutions for a class of singular quasilinear problems ⋮ Nonlocal fractional system involving the fractional \(p, q\)-Laplacians and singular potentials ⋮ Existence and multiple of solutions for a class integro-differential equations with singular term via variational and Galerkin methods

Cites Work

• Some singular, nonlinear differential equations arising in boundary layer theory
• Combined effects of concave and convex nonlinearities in some elliptic problems
• A singular Gierer-Meinhardt system of elliptic equations
• A nonlinear singular boundary value problem
• Positive Solutions of Negative Exponent Generalized Emden–Fowler Boundary Value Problems
• Nonlinear classical diffusion in a contained plasma
• On the Generalized Emden–Fowler Equation

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