Results 21 to 30 of about 8,199,777 (182)

Existence of radial positive solutions vanishing at infinity for asymptotically homogeneous systems [PDF]

Electronic Journal of Differential Equations, 2010
In this article we study elliptic systems called asymptotically homogeneous because their nonlinearities may not have polynomial growth. Using the Gidas-Spruck Blow-up method, we obtain a priori estimates, and then using Leray-Schauder topological ...
Ali Djellit, Mohand Moussaoui, Saadia Tas   +2 more
doaj   +3 more sources

Positive Radial Symmetric Solutions of Nonlinear Biharmonic Equations in an Annulus

Symmetry
This paper discusses the existence of positive radial symmetric solutions of the nonlinear biharmonic equation ▵2u=f(u,▵u) on an annular domain Ω in RN with the Navier boundary conditions u|∂Ω=0 and ▵u|∂Ω=0, where f:R+×R−→R+ is a continuous function.
Yongxiang Li, Shengbin Yang
openaire   +2 more sources

Positive radial solutions for Dirichlet problems with mean curvature operators in Minkowski space [PDF]

, 2012
In this paper, by using Leray–Schauder degree arguments and critical point theory for convex, lower semicontinuous perturbations of C1-functionals, we obtain existence of classical positive radial solutions for Dirichlet problems of typediv(∇v1−|∇v|2)+f(|
Bereanu, C., Jebelean, P., Torres Villarroya, Pedro José   +2 more
core   +2 more sources

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

On a radial positive solution to a nonlocal elliptic equation

Topological Methods in Nonlinear Analysis, 2003
The paper deals with Dirichlet boundary value problem for the nonlinear Poisson equation with nonlocal term \[ - \Delta u = f (u, \int_U g \circ u) \] \[ u| _{\partial U} = 0, \] where \(U\) is assumed to be an annulus or a ball. Existence of solutions is obtained via fixed point theorems for increasing compact operators.
Fijałkowski, Piotr, Przeradzki, Bogdan
openaire   +3 more sources

Classification of positive radial solutions to a weighted biharmonic equation

Communications on Pure and Applied Analysis, 2021
15 ...
openaire   +4 more sources

Three positive radial solutions for elliptic equations in a ball

Applied Mathematics Letters, 2005
The authors consider the second-order elliptic problem of the form \[ -\Delta u=\lambda\cdot k(|x|) f(u),\quad u> 0\quad\text{in }\Omega,\quad u= a\quad\text{on }\partial\Omega,\tag{1} \] where \(\Omega\) is the ball of radius \(R_0\); \(\lambda\), \(a\) are positive parameters; \(f\in C([0,+\infty), [0,+\infty))\) is a increasing function and \(k\in C(
João Marcos do Ó, Sebastián Lorca, Pedro Ubilla   +2 more
openaire   +4 more sources

Structure of Positive Radial Solutions of Semilinear Elliptic Equations

Journal of Differential Equations, 1997
This article primarily concerns uniqueness and asymptotic behavior of positive radial solutions to the semilinear problems (1) \(-\Delta u=f(u)\) in \(\mathbb{R}^n\), \(u(\infty)=0\); and (2) \(-\Delta u=f(u)\) in \(B\), \(u|_{\partial B}=0\), where \(B\) denotes a ball in \(\mathbb{R}^n\) centred at the origin, and \(f(t)= \min\{t^p,t^q\}\) for ...
Erbe, Lynn, Tang, Moxun
openaire   +1 more source

Rapid evaluation of radial basis functions [PDF]

, 2005
Over the past decade, the radial basis function method has been shown to produce high quality solutions to the multivariate scattered data interpolation problem.
Baxter, Brad J.C., Roussos, George, Brad J.C. Baxter, George Roussos   +3 more
core   +1 more source

Positive radial solutions to a ‘semilinear’ equation involving the Pucci's operator

Journal of Differential Equations, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Felmer Aichele, Patricio, Quaas, Alexander   +1 more
openaire   +3 more sources