scholarly journals THREE POSITIVE SOLUTIONS FOR A CLASS OF ELLIPTIC SYSTEMS IN ANNULAR DOMAINS

2005 ◽  
Vol 48 (2) ◽  
pp. 365-373 ◽  
Author(s):  
João Marcos do Ó ◽  
Sebastián Lorca ◽  
Pedro Ubilla
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Elliptic Systems ◽  
Radial Solutions ◽  
Semilinear Elliptic Systems ◽  
Existence And Multiplicity ◽  
Semilinear Elliptic ◽  
Positive Radial Solutions ◽  
Annular Domains ◽  
Compression Type

AbstractIn this paper we study the existence and multiplicity of positive radial solutions for a class of semilinear elliptic systems in bounded annular domains with non-homogeneous boundary conditions by the use of a fixed-point theorem of cone expansion/compression type.

scholarly journals Positive solutions for semilinear elliptic systems with sign-changing potentials

2016 ◽  
Vol 24 (1) ◽  
pp. 383-390
Author(s):  
Noureddine Zeddini ◽  
Adel Ben Dkhil
Keyword(s):  
Fixed Point ◽  
Dirichlet Problem ◽  
Fixed Point Theorem ◽  
Positive Solutions ◽  
Point Theorem ◽  
Elliptic Systems ◽  
Semilinear Elliptic Systems ◽  
Semilinear Elliptic ◽  
Existence Of Positive Solutions ◽  
Compact Boundary

AbstractIn this paper, we study the existence of positive solutions of the Dirichlet problem -Δu = λ p(x)f(u; v) ; -Δv = λ q(x)g(u; v); in D, and u = v = 0 on ∂∞D, where D ⊂ Rn (n ≥ 3) is an C1,1-domain with compact boundary and λ > 0. The potential functions p; q are not necessarily bounded, may change sign and the functions f; g : ℝ2→ ℝ are continuous with f(0; 0) > 0, g(0; 0) > 0. By applying the Leray- Schauder fixed point theorem, we establish the existence of positive solutions for λ sufficiently small.

Positive solutions for some competitive elliptic systems

2014 ◽  
Vol 64 (1) ◽  
Author(s):  
Ramzi Alsaedi ◽  
Habib Mâagli ◽  
Noureddine Zeddini
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Elliptic System ◽  
Elliptic Systems ◽  
Global Behavior ◽  
Continuous Solutions ◽  
Kato Class ◽  
Semilinear Elliptic ◽  
Semilinear Elliptic System ◽  
Compact Boundary

AbstractUsing some potential theory tools and the Schauder fixed point theorem, we prove the existence of positive bounded continuous solutions with a precise global behavior for the semilinear elliptic system Δu = p(x)u α ν r in domains D of ℝn, n ≥ 3, with compact boundary (bounded or unbounded) subject to some Dirichlet conditions, where α ≥ 1, β ≥ 1, r ≥ 0, s ≥ 0 and the potentials p, q are nonnegative and belong to the Kato class K(D).

scholarly journals Non-existence of ground states for a semilinear elliptic system of Lane-Emden-Fowler type

2013 ◽  
Vol 29 (2) ◽  
pp. 187-193
Author(s):  
MIODRAG IOVANOV ◽  
Keyword(s):  
Elliptic System ◽  
Nonlinear Term ◽  
Sufficient Conditions ◽  
Elliptic Systems ◽  
Aequationes Math ◽  
Radial Solutions ◽  
Semilinear Elliptic ◽  
Semilinear Elliptic System ◽  
Positive Radial Solutions ◽  
Radially Symmetric Solutions

We obtain sufficient conditions for the non-existence of positive radially symmetric solutions for a class of Lane, Emden and Fowler elliptic systems. In our result, the nonlinear term it was suggested by the work of [D. O’Regan and H. Wang, Positive radial solutions for p-Laplacian systems, Aequationes Math., 75 (2008) 43–50].

scholarly journals Patterns of non-radial solutions to coupled semilinear elliptic systems on a disc

2021 ◽  
Vol 202 ◽  
pp. 112094
Author(s):  
Zalman Balanov ◽  
Edward Hooton ◽  
Wieslaw Krawcewicz ◽  
Dmitrii Rachinskii
Keyword(s):  
Elliptic Systems ◽  
Radial Solutions ◽  
Semilinear Elliptic Systems ◽  
Semilinear Elliptic
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