Results 31 to 40 of about 199 (78)
On an asymptotically linear elliptic Dirichlet problem
Abstract and Applied Analysis, Volume 7, Issue 10, Page 509-516, 2002., 2002 Under very simple conditions, we prove the existence of one positive and one negative solution of an asymptotically linear elliptic boundary value problem. Even for the resonant case at infinity, we do not need to assume any more conditions to ensure the boundness of the (PS) sequence of the corresponding functional. Moreover, the proof is very simple.
Zhitao Zhang +3 more
wiley +1 more source
Infinitely many solutions for p-harmonic equation with singular term
, 2013 In this paper, we study the following p-harmonic problem involving the Hardy term: Δ(|Δu|p−2Δu)−λ|u|p−2u|x|2p=f(x,u),in Ω,u=∂u∂n=0on ∂Ω, where Ω is an open bounded domain containing the origin in RN ...
Huazhao Xie, Jianping Wang
semanticscholar +1 more source
On a nonresonance condition between the first and the second eigenvalues for the p‐Laplacian
International Journal of Mathematics and Mathematical Sciences, Volume 26, Issue 10, Page 625-634, 2001., 2001 We are concerned with the existence of solution for the Dirichlet problem −Δpu = f(x, u) + h(x) in Ω, u = 0 on ∂Ω, when f(x, u) lies in some sense between the first and the second eigenvalues of the p‐Laplacian Δp. Extensions to more general operators which are (p − 1)‐homogeneous at infinity are also considered.
A. Anane, N. Tsouli
wiley +1 more source
A mathematical analysis of thermal explosions
International Journal of Mathematics and Mathematical Sciences, Volume 28, Issue 10, Page 581-607, 2001., 2001 This paper is devoted to the study of semilinear degenerate elliptic boundary value problems arising in combustion theory which obey the simple Arrhenius rate law and a general Newton law of heat exchange. We prove that ignition and extinction phenomena occur in the stable steady temperature profile at some critical values of a dimensionless rate of ...
Kazuaki Taira
wiley +1 more source
Positive symmetric solutions for a class of critical quasilinear elliptic problems in RN
Boundary Value Problems, 2014 This paper deals with the critical quasilinear elliptic problem −Δpu=μ|u|p−2u|x|p+Q(x)|u|p∗(s)−2u|x|s+h(x)|u|q−2u in RN, where Δpu=div(|∇u|p−2u) is the p-Laplacian ...
Z. Deng, Yisheng Huang
semanticscholar +2 more sources
Existence of solutions of elliptic boundary value problems with mixed type nonlinearities
, 2012 We study the existence of a nontrivial solution of the following elliptic boundary value problem with mixed type nonlinearities: {−△u=f(x,u)in Ω,u=0on ∂Ω, where f(x,u)=−Ku+Wu. We consider the problem in a different case: lim|u|→∞f(x,u)/u=∞, lim|u|→0f(x,
Anmin Mao, Yan Zhu, S. Luan
semanticscholar +1 more source
Existence of infinitely many solutions for generalized Schrödinger-Poisson system
Boundary Value Problems, 2014 We study the nonlinear generalized Schrödinger-Poisson system: −Δu+V(x)u+K(x)ϕg(u)=f(x,u), in R3, −Δϕ=2K(x)G(u), in R3, where V(x) and K(x) are non-negative functions. The function f(x,u) is superlinear. Under appropriate assumptions on V(x), K(x), and g(
Liping Xu, Haibo Chen
semanticscholar +1 more source
Multiplicity of positive solutions to semilinear elliptic boundary value problems
Abstract and Applied Analysis, Volume 4, Issue 3, Page 195-208, 1999., 1999 We study semilinear elliptic boundary value problems of one parameter dependence where the number of positive solutions is discussed. Our main purpose is to characterize the critical value given by the infimum of such parameters for which positive solutions exist.
Kenichiro Umezu
wiley +1 more source
Singular limit solutions for a 2-dimensional semilinear elliptic system of Liouville type
Advances in Nonlinear Analysis, 2016 We consider the existence of singular limit solutions for a nonlinear elliptic system of Liouville type with Dirichlet boundary conditions. We use the nonlinear domain decomposition method.
Trabelsi Maryem, Trabelsi Nihed
doaj +1 more source
A time optimal control problem of some linear switching controlled ordinary differential equations
, 2012 This article studies a time optimal control problem (P) for some switching controlled systems. We first prove the existence of time optimal controls to the problem (P).
Guojie Zheng, Baolin Ma
semanticscholar +1 more source