Variational approach to anti-periodic boundary value problems involving the discrete p-Laplacian

Multiple solutions for a discrete boundary value problem involving the p-Laplacian

Multiple solutions for a discrete boundary value problem involving the p-Laplacian are established. Our approach is based on critical point theory. c © 2008 Elsevier Ltd. All rights reserved.

On the Number of Solutions of Boundary Value Problems Involving the P{laplacian

This paper is concerned with multiplicity questions for solutions of the boundary value problem ('(u 0)) 0 + f(t; u) = 0; a < t < b u(a) = 0 = u(b) where ' is an odd, increasing homeomorphism on R, and is a positive parameter. The tools employed are xed point and continuation methods.

Positive Solutions for Discrete Boundary Value Problems to One-Dimensional p-Laplacian with Delay

MULTIPLE NONNEGATIVE SOLUTIONS FOR ELLIPTIC BOUNDARY VALUE PROBLEMS INVOLVING THE p -LAPLACIAN

In this paper we present a result concerning the existence of two nonzero nonnegative solutions for the following Dirichlet problem involving the p -Laplacian ( −∆pu = λf(x, u) in Ω, u = 0 on ∂Ω, using variational methods. In particular, we will determine an explicit real interval Λ for which these solutions exist for every λ ∈ Λ. We also point out that our result improves and extends to higher...

Variational approach to the sixth-order boundary value problems

Recently, Wazwaz [Appl. Math. Comput. 118 (2001) 311–325] applied the Adomian s decomposition method to solve analytically the solution of sixth-order boundary value problems. The same problem is discussed via the variational principle, which reveals to be much more simpler and much more efficient. 2002 Elsevier Science Inc. All rights reserved.