SPECTRAL ESTIMATES FOR A NONHOMOGENEOUS DIFFERENCE PROBLEM

DOI10.1142/S0219199710004093zbMath1215.47020OpenAlexW2164598375MaRDI QIDQ3067172

Mihai Mihăilescu, Stepan Agop Tersian, Alexandru Kristály, Vicenţiu D. Rădulescu

Publication date: 20 January 2011

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219199710004093

zbMATH Keywords

continuous spectrumeigenvalue problemcritical 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) Nonlinear ordinary differential operators (34L30) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38)

Related Items (10)

Existence of solutions for \(p\)-Laplacian discrete equations ⋮ Existence of solutions for a nonlinear algebraic system with a parameter ⋮ Positive solutions for a class of discrete mixed boundary value problems with the \(\left( p, q\right)\)-Laplacian operator ⋮ On sequences of solutions for discrete anisotropic equations ⋮ Weak homoclinic solutions of anisotropic difference equation with variable exponents ⋮ Algebraic systems with Lipschitz perturbations ⋮ On homoclinic solutions of a semilinear \(p\)-Laplacian difference equation with periodic coefficients ⋮ Discrete elliptic Dirichlet problems and nonlinear algebraic systems ⋮ An eigenvalue of anisotropic discrete problem with three variable exponents ⋮ Multiple solutions for partial discrete Dirichlet problems depending on a real parameter

Cites Work

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• On the lowest eigenvalue of the Laplacian for the intersection of two domains
• 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
• Existence theorems for second-order discrete boundary value problems
• Eigenvalue problems for anisotropic discrete boundary value problems

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