Existence of positive singular solutions for a class of quasilinear elliptic equations
, 2000 We establish existence of singular positive radial solutions to-div(A(\del u\)del u) = f(u)either to a Dirichlet problem in a punctured ball centered at the origin, or in R-N\{0}. (C) 2000 Elsevier Science B.V. All rights reserved.
Garcia Huidobro, M +5 more
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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 ...
Hua-Zhao Xie, Jian-Ping Wang
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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,
An-Min Mao, Yan Zhu, S. Luan
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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(
Li-Ping Xu, Hai-Bo Chen
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Existence Theorems for Non-Cooperative Elliptic Systems [PDF]
, 2012 2010 Mathematics Subject Classification: 35J65, 35K60, 35B05, 35R05.Existence of classical C2()TC() solutions of non-cooperative weakly coupled systems of elliptic second-order PDE is proved via the method of sub- and super ...
Boyadzhiev, G.
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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
Semilinear elliptic equations having asymptotic limits at zero and infinity
Abstract and Applied Analysis, Volume 4, Issue 4, Page 231-242, 1999., 1999 We obtain nontrivial solutions for semilinear elliptic boundary value problems having resonance both at zero and at infinity, when the nonlinear term has asymptotic limits.
Kanishka Perera, Martin Schechter
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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
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Some hemivariational inequalities in the Euclidean space
Advances in Nonlinear Analysis, 2019 The purpose of this paper is to study the existence of weak solutions for some classes of hemivariational problems in the Euclidean space ℝd (d ≥ 3). These hemivariational inequalities have a variational structure and, thanks to this, we are able to find
Bisci Giovanni Molica, Repovš Dušan
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On semilinear biharmonic equations with concave-convex nonlinearities involving weight functions
, 2014 In this paper, we consider semilinear biharmonic equations with concave-convex nonlinearities involving weight functions, where the concave nonlinear term is λf(x)|u|q−1u and the convex nonlinear term is h(x)|u|p−1u with λ∈R+.
Lu Yang, Xuan Wang
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