Results 51 to 60 of about 1,665 (115)
Multiple solutions for a problem with resonance involving the p‐Laplacian
Abstract and Applied Analysis, Volume 3, Issue 1-2, Page 191-201, 1998., 1998 In this paper we will investigate the existence of multiple solutions for the problem where Δpu = div(|∇u|p−2∇u) is the p‐Laplacian operator, Ω⫅ℝN is a bounded domain with smooth boundary, h and g are bounded functions, N ≥ 1 and 1 < p < ∞. Using the Mountain Pass Theorem and the Ekeland Variational Principle, we will show the existence of at least ...
C. O. Alves +2 more
wiley +1 more source
EXISTENCE AND MULTIPLICITY OF SOLUTIONS FOR NONLINEAR SCHRÖDINGER-KIRCHHOFF-TYPE EQUATIONS
, 2016 . In this paper, we consider the following Schro¨dinger-Kirch-hoff-type equationsa+ bZ R N (|∇u| 2 + V(x)|u| 2 )dx[−∆u+ V(x)u] = f(x,u), in R N .Under certain assumptions on V and f, some new criteria on the exis-tence and multiplicity of nontrivial ...
Haibo Chen, Hongliang Liu, Liping Xu
semanticscholar +1 more source
On quasilinear elliptic equations in ℝN
Abstract and Applied Analysis, Volume 1, Issue 4, Page 407-415, 1996., 1996 In this note we give a result for the operator p‐Laplacian complementing a theorem by Brézis and Kamin concerning a necessary and sufficient condition for the equation −Δu = h(x)uq in ℝN, where 0 < q < 1, to have a bounded positive solution. While Brézis and Kamin use the method of sub and super solutions, we employ variational arguments for the ...
C. O. Alves, J. V. Concalves, L. A. Maia
wiley +1 more source
A local minimum theorem and critical nonlinearities
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016 In this paper the existence of two positive solutions for a Dirichlet problem having a critical growth, and depending on a real parameter, is established.
Bonanno Gabriele +2 more
doaj +1 more source
A weighted Hardy-type inequality for 0
, 2015 Hardy-type inequalities with sharp costants for 0 < p < 1 for power weight functions were established in [10], [5]. In this work, we give an extension of these inequalities for general weight functions, prove the existence of extremal functions and write
N. Azzouz, V. Burenkov, A. Senouci
semanticscholar +1 more source
On certain nonlinear elliptic systems with indefinite terms
Electronic Journal of Differential Equations, 2002 We consider an elliptic quasi linear systems with indefinite term on a bounded domain. Under suitable conditions, existence and positivity results for solutions are given. Submitted April 2, 2002. Published October 2, 2002.
Ahmed Bensedik, Mohammed Bouchekif
doaj
A bifurcation result involving Sobolev trace embedding and the duality mapping of W1,p
Moroccan Journal of Pure and Applied Analysis, 2017 We consider the perturbed nonlinear boundary condition ...
El Khalil Abdelouahed
doaj +1 more source
Liouville Type Theorem For A Nonlinear Neumann Problem [PDF]
, 2016 Consider the following nonlinear Neumann problem \[ \begin{cases} \text{div}\left(y^{a}\nabla u(x,y)\right)=0, & \text{for }(x,y)\in\mathbb{R}_{+}^{n+1}\\ \lim_{y\rightarrow0+}y^{a}\frac{\partial u}{\partial y}=-f(u), & \text{on }\partial\mathbb{R}_ ...
Xiang, Changlin
core
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
One‐sided resonance for quasilinear problems with asymmetric nonlinearities
, 2002 Abstract and Applied Analysis, Volume 7, Issue 1, Page 53-60, 2002.
Kanishka Perera
wiley +1 more source