Weak solutions for anisotropic discrete boundary value problems

DOI10.1080/10236191003657246zbMath1227.47046OpenAlexW2106600087MaRDI QIDQ3093760

Blaise Kone, Stanislas Ouaro

Publication date: 18 October 2011

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236191003657246

zbMATH Keywords

weak solutioncritical pointdiscrete boundary value problem

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) General spectral theory of ordinary differential operators (34L05) Eigenvalue problems for linear operators (47A75) Applications of operator theory to differential and integral equations (47N20) Nonlinear ordinary differential operators (34L30) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38)

Related Items (20)

A note on the well-posed anisotropic discrete BVPs ⋮ Existence and multiplicity of solutions to discrete inclusions with thep(k)-Laplacian problem ⋮ Multiplicity of solutions to discrete inclusions with the \(p(k)\)-Laplace type equations ⋮ Three solutions to discrete anisotropic problems with two parameters ⋮ On sequences of solutions for discrete anisotropic equations ⋮ Multiplicity of solutions to discrete inclusions with the \(p(k)\)-Laplace Kirchhoff type equations ⋮ Weak homoclinic solutions of anisotropic discrete nonlinear system with variable exponent ⋮ Weak homoclinic solutions of anisotropic difference equation with variable exponents ⋮ On class of discrete boundary value problem via variational methods ⋮ Weak homoclinic solutions to discrete nonlinear problems of Kirchhoff type with variable exponents ⋮ Existence of solutions for discrete boundary value problems with second order dependence on parameters ⋮ Weak solutions to Neumann discrete nonlinear system of Kirchhoff type ⋮ On the discrete boundary value problem for anisotropic equation ⋮ Existence of two solutions for a fourth-order difference problem with \(p(k)\) exponent ⋮ On the solvability of discrete nonlinear two-point boundary value problems ⋮ Existence of three weak solutions for a perturbed anisotropic discrete Dirichlet problem ⋮ Multiple periodic solutions to a discrete \(p^{(k)}\)-Laplacian problem ⋮ On an anisotropic discrete boundary value problem of Kirchhoff type ⋮ An eigenvalue of anisotropic discrete problem with three variable exponents ⋮ On the system of anisotropic discrete BVPs

Cites Work

• On a class of semipositone discrete boundary value problems
• Multiple solutions for discrete boundary value problems
• Multiple positive solutions of singular and nonsingular discrete problems via variational methods
• Eigenvalue problems for anisotropic quasilinear elliptic equations with variable exponent
• Existence theorems for second-order discrete boundary value problems
• Eigenvalue problems for anisotropic discrete boundary value problems
• AVERAGING OF FUNCTIONALS OF THE CALCULUS OF VARIATIONS AND ELASTICITY THEORY
• Variable Exponent, Linear Growth Functionals in Image Restoration
• Mathematical modeling of electrorheological materials

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