Results 21 to 30 of about 8,578,478 (315)

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

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

Morse index and uniqueness for positive solutions of radial $p$-Laplace equations [PDF]

Transactions of the American Mathematical Society, 2004
The authors consider positive radial solutions to a radial \(p\)-Laplace equation on the unit ball with Dirichlet boundary conditions. Using the spectrum of the linearized operator in a weighted space of radial functions, they derive the Morse index and use it to prove uniqueness and nondegeneracy in some particular cases.
A. Aftalion, PACELLA, Filomena
openaire   +5 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

Existence of positive radial solutions for a problem involving the weighted Heisenberg $ p(\cdot) $-Laplacian operator

AIMS Mathematics, 2022
A variational principle is applied to examine a Muckenhoupt weighted $ p(\cdot) $-Laplacian equation on the Heisenberg groups. The existence of at least one positive radial solution to the problem under the Dirichlet boundary condition belongs to the ...
M. Ragusa, A. Razani, F. Safari
semanticscholar   +1 more source

Positive radial solutions for Dirichlet problems via a Harnack‐type inequality

Mathematical methods in the applied sciences, 2022
We deal with the existence and localization of positive radial solutions for Dirichlet problems involving ϕ$$ \phi $$ ‐Laplacian operators in a ball. In particular, p$$ p $$ ‐Laplacian and Minkowski‐curvature equations are considered. Our approach relies
R. Precup, J. Rodríguez-López
semanticscholar   +1 more source

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

A remark on the existence of positive radial solutions to a Hessian system

AIMS Mathematics, 2021
We give new conditions for the study of existence of positive radial solutions for a system involving the Hessian operator. The solutions to be obtained are given by successive-approximation.
D. Covei
semanticscholar   +1 more source

Uniqueness of positive radial solutions of superlinear elliptic equations in annuli

Journal of Differential Equations, 2021
We present a generalized comparison identity for a two point boundary value problem, and we apply it to show the uniqueness of positive radial solutions of { Δ u ( x ) + f ( u ( x ) ) = 0 in  A a , b , u ( x ) = 0 on  ∂ A a , b , where n ∈ N with n ≥ 2 ,
Naoki Shioji, Satoshi Tanaka, Kohtaro Watanabe   +2 more
semanticscholar   +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