Results 271 to 280 of about 8,578,478 (315)

Positive Radial Solutions for and Related Topics

Applicable Analysis, 1990
We study the existence of positive radial solutions of semilinear elliptic equations . By using a variational method and finite balls approach, we prove that there exists a positive radial solution with finite energy on provided that K satisfies the following conditions (i) for small r > 0, β > 0 and α∊(0,n), (ii) K(r) ≥ 0 for large r and and (iii ...
Chang-Shou Lin, Song-Sun Lin
exaly   +2 more sources

Positive radial solutions of critical Hénon equations on the unit ball in ℝN$$ {\mathbb{R}}^N $$

Mathematical methods in the applied sciences, 2022
In this paper, we study the positive radial solutions for the Hénon equations with weighted critical exponents on the unit ball B$$ B $$ in ℝN$$ {\mathbb{R}}^N $$ with N⩾3$$ N\geqslant 3 $$ . We first confirm that 2∗(α)=2(N+α)N−2$$ {2}^{\ast}\left(\alpha
Cong Wang, Jia-Bao Su
semanticscholar   +1 more source

Positive solutions, positive radial solutions and uniqueness results for some nonlocal elliptic problems

Journal of Elliptic and Parabolic Equations
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chahinez Bellamouchi, E. Zaouche
semanticscholar   +3 more sources

Positive radial solutions for elliptic equations with nonlinear gradient terms in an annulus

Complex Variables and Elliptic Equations, 2018
Yong-Xiang Li
semanticscholar   +3 more sources

Positive radial solutions for a quasilinear system

Applicable Analysis, 2006
In this article, general existence theorems are presented for a quasilinear system We obtain some existence theorems by a simple application of the Schauder fixed-point theorem and degree theory. We do not require conditions of the nonlinearity f, g at zero or at infinity, and we do not need upper bounds for p, q involving the dimension n. We study the
Haishen Lü, Donal O'Regan, Ravi P. Agarwal   +2 more
openaire   +1 more source

Analysis of positive radial solutions for singular superlinear p-Laplacian systems on the exterior of a ball

, 2020
In this paper, we study some well-posedness properties of a positive radial solution pair ( u 1 , u 2 ) to a singular boundary value problem in the form: − Δ p u i = λ K i ( | x | ) f i ( u j )    in   R N ∖ B r 0 , a i ∂ u i ∂ n + c i ( λ , u j , u i ...
B. Son, Pei-Yong Wang
semanticscholar   +1 more source

Classification to the positive radial solutions with weighted biharmonic equation

Discrete and Continuous Dynamical Systems. Series A, 2020
In this paper, we consider the weighted problem \begin{document}$ \Delta (|x|^{-\alpha} \Delta u) = |x|^{\beta} u^p, \qquad u(x)>0, \qquad u(x) = u(|x|)\qquad \text{in}\; \; \mathbb{R}^n\backslash{\{0}\}, $\end{document} where \begin{document}$ n\ge 5 ...
Xia Huang, Li-Ping Wang
semanticscholar   +1 more source

Positive radial solutions for p-Laplacian systems

Aequationes mathematicae, 2008
The paper deals with the existence of positive radial solutions for the p-Laplacian system div(|∇ u i | p-2∇ u i )  +  f i
Donal O’Regan, Haiyan Wang
openaire   +1 more source

On positive radial solutions of quasilinear elliptic equations

Nonlinear Analysis: Theory, Methods & Applications, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Corrêa, F. J., Goncalves, J. V., Melo, A. L.   +2 more
openaire   +1 more source

Positive radial solutions for systems with mean curvature operator in Minkowski space [PDF]

, 2017
We are concerned with a Dirichlet system, involving the mean curvature operator in Minkowski space M(w) = div (∇w / 1−|∇w|2) in a ball in RN. Using topological degree arguments, critical point theory and lower and upper solutions method, we obtain non ...
Daniela Gurban, P. Jebelean
semanticscholar   +2 more sources