Positive solution for Dirichlet $p(t)$-Laplacian BVPs
Authors
Abstract:
In this paper we provide existence results for positive solution to Dirichlet p(t)-Laplacian boundary value problems. The sublinear and superlinear cases are considerd.
similar resources
positive solution for dirichlet $p(t)$-laplacian bvps
in this paper we provide existence results for positive solution to dirichlet p(t)-laplacian boundary value problems. the sublinear and superlinear cases are considerd.
full textStability of Nonlinear Dirichlet BVPs Governed by Fractional Laplacian
We consider a class of partial differential equations with the fractional Laplacian and the homogeneous Dirichlet boundary data. Some sufficient condition under which the solutions of the equations considered depend continuously on parameters is stated. The application of the results to some optimal control problem is presented. The methods applied in the paper make use of the variational struc...
full textExistence of Positive Solutions for Generalized p-Laplacian BVPs
Using Kransnoskii’s fixed point theorem, the authors obtain the existence of multiple solutions of the following boundary value problem ( ) ( ) , , ..., = 0, 0,1 1 2 BVP E u t f t u t u t t p n n φ − ( ) − ( ) ( ) ( ) ( ) + ( ) ( ) ( ) ∈ ( ) ' , ( ) 0 = 0, 0 3, 0 = 0, 1 2 0 1 2 BC u i n u B u u i
full textExistence and Uniqueness of Solution for P-Laplacian Dirichlet Problem
whereΔp is the p-Laplacian, Ω ∈ C0,1 be a bounded domain inRN . Let p ≥ 2, λ > 0 and f : Ω×R −→ R be a caratheodory function which is decreasing with respect to the second variable, i.e., f(x, s1) ≥ f(x, s2) for a.a. x ∈ Ω ands1, s2 ∈ R, s1 ≤ s2 (2) Assume, moreover, that there exists f0 ∈ Lp(Ω), p′ = p p−1 and c > 0 such that ∣f(x, s)∣ ≤ f0(x) + c∣s∣p−1 (3) We considered such problems with num...
full textTriple Positive Solutions of Two-Point BVPs for p-Laplacian Dynamic Equations on Time Scales
We study the existence of positive solutions to the p-Laplacian dynamic equations (g(u∆(t)))∇+a(t)f(t, u(t)) = 0 for t ∈ [0, T ]T satisfying either the boundary condition u(0) − B0(u(0)) = 0, u(T ) = 0 or u(0) = 0, u(T ) + B1(u(T )) = 0, where g(ν) = |ν|p−2 ν with p > 1. By using a new five functionals fixed-point theorem due to Avery, we prove that the boundary value problems has at least thre...
full textExistence theory for positive solutions of p-laplacian multi-point BVPs on time scales∗
This paper is concerned with the one-dimensional p-Laplacian multi-point boundary value problem on time scales : (φp(u Δ))∇ + h(t)f(u) = 0, t ∈ [0, T ] , subject to multi-point boundary conditions u(0) −B0 m−2 i=1 aiu (ξi) = 0, u(T ) = 0, or u(0) = 0, u(T ) + B1 m−2 i=1 biu Δ(ξ′ i) = 0, where φp(u) is p-Laplacian operator, i.e., φp(u) = |u| u, p > 1, ξi, ξ′ i ∈ [0, T ] , m ≥ 3 and satisfy 0 ≤ ξ...
full textMy Resources
Journal title
volume 42 issue 1
pages 155- 173
publication date 2016-02-01
By following a journal you will be notified via email when a new issue of this journal is published.
Hosted on Doprax cloud platform doprax.com
copyright © 2015-2023