Results 11 to 20 of about 34,591 (259)

On Positive Radial Solutions for a Class of Elliptic Equations [PDF]

The Scientific World Journal, 2014
A class of elliptic boundary value problem in an exterior domain is considered under some conditions concerning the first eigenvalue of the relevant linear operator, where the variables of nonlinear term fs,u need not to be separated.
Ying Wu, Guodong Han
doaj   +5 more sources

Radial Positive Solutions for p-Laplacian Supercritical Neumann Problems

Bruno Pini Mathematical Analysis Seminar, 2017
This paper deals with existence and multiplicity of positive solutions for a quasilinear problem with Neumann boundary conditions. The problem is set in a ball and admits at least one constant non-zero solution; moreover, it involves a nonlinearity that ...
Francesca Colasuonno, Benedetta Noris
doaj   +5 more sources

Nonexistence and Radial Symmetry of Positive Solutions of Semilinear Elliptic Systems [PDF]

Discrete Dynamics in Nature and Society, 2009
Nonexistence and radial symmetry of positive solutions for a class of semilinear elliptic systems are considered via the method of moving spheres.
Zhengce Zhang, Liping Zhu
doaj   +3 more sources

Radial positive solutions for a nonpositone problem in an annulus

Electronic Journal of Differential Equations, 2014
The main purpose of this article is to prove the existence of radial positive solutions for a nonpositone problem in an annulus when the nonlinearity is superlinear and has more than one zero.
Said Hakimi, Abderrahim Zertiti
doaj   +2 more sources

Nonexistence of radial positive solutions for a nonpositone problem

Electronic Journal of Differential Equations, 2011
In this article we study the nonexistence of radial positive solutions for a nonpositone problem when the nonliearity is superlinear and has more than one zero.
Said Hakimi, Abderrahim Zertiti
doaj   +2 more sources

Radial positive solutions for a nonpositone problem in a ball

Electronic Journal of Differential Equations, 2009
In this paper, we study the existence of radial positive solutions for a nonpositone problem when the nonlinearity is superlinear and may have more than one zero.
Said Hakimi, Abderrahim Zertiti
doaj   +2 more sources

Existence of positive radial solutions of general quasilinear elliptic systems

Advances in Nonlinear Analysis
Let Ω⊂Rn(n≥2)\Omega \subset {{\mathbb{R}}}^{n}\hspace{0.33em}\left(n\ge 2) be either an open ball BR{B}_{R} centred at the origin or the whole space. We study the existence of positive, radial solutions of quasilinear elliptic systems of the form Δpu=f1(∣
Devine Daniel
doaj   +4 more sources

Asymptotic behavior of positive solutions for the radial p-Laplacian equation

Electronic Journal of Differential Equations, 2012
We study the existence, uniqueness and asymptotic behavior of positive solutions to the nonlinear problem $$displaylines{ frac{1}{A}(APhi _p(u'))'+q(x)u^{alpha}=0,quad hbox{in }(0,1),cr lim_{xo 0}APhi _p(u')(x)=0,quad u(1)=0, }$$ where $alpha <p-
Sonia Ben Othman, Habib Maagli
doaj   +2 more sources

New Results on the Radial Solutions to a Class of Nonlinear k-Hessian System

Journal of Mathematics, 2022
This paper investigates the positive radial solutions of a nonlinear k-Hessian system. ΛSk1/kλD2z1Sk1/kλD2z1=bxφz1,z2, x∈ℝNΛSk1/kλD2z2Sk1/kλD2z2=hxψz1,z2, x∈ℝN, where Λ is a nonlinear operator and b, h, φ, ψ are continuous functions.
Guotao Wang, Zhuobin Zhang
doaj   +1 more source

RADIAL SYMMETRY OF POSITIVE SOLUTIONS TO EQUATIONS INVOLVING THE FRACTIONAL LAPLACIAN [PDF]

Communications in Contemporary Mathematics, 2014
The aim of this paper is to study radial symmetry and monotonicity properties for positive solution of elliptic equations involving the fractional Laplacian. We first consider the semi-linear Dirichlet problem [Formula: see text] where (-Δ)αdenotes the fractional Laplacian, α ∈ (0, 1), and B1denotes the open unit ball centered at the origin in ℝNwith N
Felmer, Patricio, Wang, Ying
openaire   +6 more sources