[PDF] Top 20 A global result for discrete ϕ Laplacian eigenvalue problems
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A global result for discrete ϕ Laplacian eigenvalue problems
... In our discussion for the single discrete problem (), we only assume that φ satisfies condition (A). In addition, in the discussion of nonlinear differential systems in [, ], monotonicity conditions were ... See full document
10
On the solvability of discrete nonlinear Neumann problems involving the p(x) Laplacian
... Our aim in this article is to use a minimization method to establish some existence results of solutions of (1.1). The idea of the proof is to transfer the problem of the existence of solutions for (1.1) into the problem ... See full document
14
Global bifurcation results for general Laplacian problems
... Proof : Suppose that (0, μ ) is not a bifurcation point of (P). Then there is a neighbor- hood of (0, μ ) containing no nontrivial solutions of (P). In particular, we may choose an ε -ball B ε such that there are no ... See full document
15
Positive solutions and eigenvalue intervals for a second order p Laplacian discrete system
... This paper is mainly motivated by previous paper [6], in which Chu et al. [5, 6] stated and showed that, under adequate assumptions on the nonlinear term f , the discrete boundary value problems have at ... See full document
9
Existence and multiplicity of difference ϕ Laplacian boundary value problems
... For discrete φ-Laplacian problems, there are fewer study results than for differential φ- Laplacian problems. See Cabda [], Cabada and Espinar [] and Bondar []. To the best of our ... See full document
13
Existence of an unbounded branch of the set of solutions for Neumann problems involving the p(x)-Laplacian
... pal eigenvalue for nonlinear eigenvalue problems related to the p-Laplacian under either Dirichlet boundary condition or Neumann boundary condition is isolated plays a key role in obtaining ... See full document
16
Existence and multiplicity of solutions of second order discrete Neumann problem with singular ϕ Laplacian operator
... Treibergs [] obtained an existence result about entire solutions for (.) in the presence of a pair of well-ordered upper and lower solutions, and (.) coupled with the Neumann boundary conditions has been ... See full document
18
Bifurcation from interval at infinity for discrete eigenvalue problems which are not linearizable
... Since problem (.) has different linearizations at infinity, the standard global bifurcation results [] are not immediately applicable. However, Schmitt [] and Peitgen and Schmitt [] obtained a theorem on ... See full document
15
Existence of an unbounded branch of the set of solutions for equations of p(x)-Laplace type
... a global phenomenon by using the topological approach of Krasnoselskii ...nonlinear eigenvalue and bifurcation problems have been extensively studied by many researchers in various ways of approach; ... See full document
20
Solvability for some boundary value problems with discrete ϕ Laplacian operators
... The purpose of this paper is to show that analogs of the existence results of solutions for differential problems proved in [] hold for the corresponding difference equations. However, some basic ideas from ... See full document
8
Existence and monotone iteration of symmetric positive solutions for integral boundary value problems with ϕ Laplacian operator
... gate here the iteration and existence of symmetric positive solutions for the multi-point integral boundary-value problems with φ -Laplacian (.). We do not require the existence of lower and upper ... See full document
14
Multiple solutions of boundary value problems with ϕ-Laplacian operators and under a Wintner-Nagumo growth condition
... In this paper, we establish the existence of multiple solutions to second-order differential equations with φ -Laplacian satisfying periodic, Dirichlet or Neumann boundary conditions. The right-hand side is a ... See full document
21
Existence and multiplicity results for some nonlinear problems with singular ϕ-Laplacian via a geometric approach
... Obviously, we have generalized the result [], Theorem . It is worth mentioning that for the particular sin x in equation (.), Torres has improved his method and obtained a better result [], ... See full document
27
A condition for blow-up solutions to discrete p-Laplacian parabolic equations under the mixed boundary conditions on networks
... the discrete p-normal derivative (introduced in ...value problems such as the Dirichlet boundary, Neumann boundary, and Robin boundary ...our result is a unified ... See full document
21
New existence results for some periodic and Neumann-Steklov boundary value problems with ϕ-Laplacian
... This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, d[r] ... See full document
15
The eigenvalue problem for the p Laplacian like equations
... Obviously, (A3) also holds. These conditions have been posted directly on the given functions in some papers which dealt with the solvability of the bound- ary value or eigenvalue problem for the p ... See full document
12
Nonlinear eigenvalue problems
... There is a plausible argument that the power series constant P is connected with the asymptotic behavior of eigenvalues: On one hand, P is associated with the zero of largest modulus of a polynomial of degree n, which is ... See full document
16
Recent Advances in Global Optimization for Combinatorial Discrete Problems
... optimization problems in WSS are based on searching the system characteristics which minimise the total system cost without affecting the proper operation of the hydraulic system and the consumers ...optimization ... See full document
15
Nonlinear eigenvalue problems
... This remarkable and deceptively simple looking differential equation was given as an exercise in the text by Bender and Orszag [1]. Since then, it and closely related differential equations have arisen in a number of ... See full document
16
Existence of solutions for discrete fractional boundary value problems with a p Laplacian operator
... The remainder of this paper is organized as follows. Section preliminarily provides some necessary background material for the theory of discrete fractional calculus. In Sec- tion , the main existence ... See full document
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