Radial positive solutions for a nonpositone problem in a ball
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
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Nonexistence and Radial Symmetry of Positive Solutions of Semilinear Elliptic Systems [PDF]
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
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Radial positive solutions for a nonpositone problem in an annulus
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
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Positive radial solutions involving nonlinearities with zeros [PDF]
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Isabel Flores +2 more
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Existence of positive radial solutions for a weakly coupled system via blow up [PDF]
The existence of positive solutions to certain systems of ordinary differential equations is studied. Particular forms of these systems are satisfied by radial solutions of associated partial differential equations.
Marta García-Huidobro +2 more
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Nonexistence of radial positive solutions for a nonpositone problem
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
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Existence of positive radial solutions of general quasilinear elliptic systems
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
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Existence of positive radial solutions for quasilinear elliptic equations and systems [PDF]
Under simple conditions on f and g, we show that existence of positive radial solutions for the quasilinear elliptic equation $$ \hbox{div}(\phi_1(|\nabla u|) \nabla u)=a(|x|)f(u) \quad x\in \mathbb{R}^N, $$ and for the system $$\displaylines{
Zhijun Zhang
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Asymptotic behavior of positive solutions for the radial p-Laplacian equation
We study the existence, uniqueness and asymptotic behavior of positive solutions to the nonlinear problem $$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
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Morse index and uniqueness for positive solutions of radial $p$-Laplace equations [PDF]
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
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