The paper is concerned with the existence of nodal radial solutions for the p ( x ) -Laplacian equation { − div ( | ∇ u | p ( x ) − 2 ∇ u ) + a ( x ) | u | p ( x ) − 2 u = | u | q ( x ) − 2 u in Ω , u ∈ W 0 1 , p ( x ) ...
In this paper, we study the number of nodal domains of nodal solutions for p-Laplacian equations using minimax methods. 本文运用极小极大方法和相对亏格方法研究拟线性方程变号解的变号域的个数。 2) transform domain signal processing 变换域信号处理 1. The performance of a narrow band interference...
A unified approach for multiple constant sign and nodal solutions We consider a nonlinear elliptic equation driven by the $p$-Laplacian with Dirichlet boundary condition. Using variational techniques, combined with the method of upper-lower solutions and suitable truncation arguments, we establish the ...
In this paper we study a nonlinear Dirichlet elliptic differential equation driven by the p-Laplacian and with a nonsmooth potential (hemivariational inequ... L Gasiński,NS Papageorgiou - 《Nonlinear Analysis Theory Methods & Applications》 被引量: 99发表: 2009年 Nodal solutions for p-Laplace eq...
It is well known that the blow-up of solutions near singular parameter values is closely related to Bahri’s [2] theory of critical points at infinity. The existence of a positive solution in domains with nontrivial homology and when μ=ε=0 has been shown in the seminal work [3] of ...
−(a+b∫R3|∇u|2dx)Δu+V(x)u=f(u)inR3. (1.3) Equation (1.3) has arisen the interest of many mathematicians. Especially, there are many papers on nodal solutions to problems like (1.3) [6,9,11–13,15,20,21,25,26,29,31,33,34,39,40,46–48]. ...
An, Y., Liu, R.: Existence of nontrivial solutions of an asymptotically linear fourth-order elliptic equation. Nonlinear Anal. 68, 3325–3331 (2008) Article MathSciNet MATH Google Scholar Wang, W., Zang, A., Zhao, P.: Multiplicity of solutions for a class of fourth-order elliptical ...
EXISTENCE OF INFINITELY MANY NODAL SOLUTIONS FOR A SUPERLINEAR NEUMANN BOUNDARY VALUE PROBLEM AIXIA QIAN Received 12 January 2005 We study the existence of a class of nonlinear elliptic equation with Neumann boundary condition, and obtain infinitely many nodal solutions. The study of such a problem ...
The paper is concerned with the existence of nodal radial solutions for the p(x)-Laplacian equation [GRAPHICS] It is proved that for any given nonnegative integer k, the problem has a pair of solutions which has exactly k nodes when a, p and q satisfy suitable conditions. (C) 2006 ...
nodal solutionsresonancesuperliner reactionWe consider nonlinear, nonhomogeneous elliptic Dirichlet equations driven by the sum of a p-Laplacian and a Laplacian (so-called (p, 2)-equation), We are concerned with both cases 1 < p < 2 (singular case) and p > 2. In the first one, the ...