Discrete elliptic Dirichlet problems and nonlinear algebraic systems

DOI10.1007/s00009-014-0490-2zbMath1339.39006OpenAlexW2128955195MaRDI QIDQ5964385

Giovanni Molica Bisci, Maurizio Imbesi

Publication date: 29 February 2016

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

Full work available at URL: https://doi.org/10.1007/s00009-014-0490-2

zbMATH Keywords

discrete maximum principlealgebraic systemsdifference eqautionsdiscrete nonlinear boundary value problemsinfinitely many solutions

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Additive difference equations (39A10) Discrete version of topics in analysis (39A12) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38)

Related Items (14)

Three nontrivial solutions for second-order partial difference equation via Morse theory ⋮ Three solutions for a partial discrete Dirichlet boundary value problem with \(p\)-Laplacian ⋮ Existence of solutions for \(p\)-Laplacian discrete equations ⋮ Multiple solutions for the nonlinear algebraic system with the indefinite coefficient matrix ⋮ Infinitely many large energy solutions to a class of nonlocal discrete elliptic boundary value problems ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Existence and multiplicity of nontrivial solutions to discrete elliptic Dirichlet problems ⋮ Multiple results on nontrivial solutions of discrete Kirchhoff type problems ⋮ Periodic solutions for a second-order partial difference equation ⋮ Existence of three weak solutions for a perturbed anisotropic discrete Dirichlet problem ⋮ On the existence of multiple solutions for a partial discrete Dirichlet boundary value problem with mean curvature operator ⋮ Existence and multiplicity solutions for discrete Kirchhoff type problems ⋮ New existence criterion of infinitely many solutions for partial discrete Dirichlet problems

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