Radial Positive Solutions for p-Laplacian Supercritical Neumann Problems [PDF]
Bruno Pini Mathematical Analysis Seminar, 2017 This paper deals with existence and multiplicity of positive solutions for a quasilinear problem with Neumann boundary conditions. The problem is set in a ball and admits at least one constant non-zero solution; moreover, it involves a nonlinearity that ...
Francesca Colasuonno, Benedetta Noris
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Existence of positive radial solutions of general quasilinear elliptic systems [PDF]
Advances in Nonlinear AnalysisLet 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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Nonexistence and Radial Symmetry of Positive Solutions of Semilinear Elliptic Systems [PDF]
Discrete Dynamics in Nature and Society, 2009 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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Positive radial solutions for Dirichlet problems in the ball
Nonlinear Analysis, 2023 We are concerned with existence, localization and multiplicity of positive radial solutions to Dirichlet problems with Ø-Laplacians in a ball, in both scalar and system cases. Our approach essentially relies on fixed point index computations and a main feature is that it avoids any Harnack type inequality.
Petru Jebelean +2 more
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On Positive Radial Solutions for a Class of Elliptic Equations [PDF]
The Scientific World Journal, 2014 A class of elliptic boundary value problem in an exterior domain is considered under some conditions concerning the first eigenvalue of the relevant linear operator, where the variables of nonlinear term fs,u need not to be separated.
Ying Wu, Guodong Han
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Radial positive solutions for a nonpositone problem in an annulus
Electronic Journal of Differential Equations, 2014 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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Multiplicity Results of Positive Radial Solutions for p-Laplacian Problems in Exterior Domains [PDF]
Boundary Value Problems, 2008 We find the second positive radial solution for the following p-Laplacian problem: div(|∇u|p−2∇u)+K(|x|)uq=0 in Ω, u|∂Ω=0, u(x)→μ>0 as |x|→∞, where Ω={x∈â„ÂN:|x|>r0}, r0>0, N>p>1, K∈C(Ω,(0,à ...
Inbo Sim, Yong-Hoon Lee, Chan-Gyun Kim
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Asymptotic behavior of positive radial solutions to elliptic equations approaching critical growth
Electronic Journal of Differential Equations, 2020 We study the asymptotic behavior of radially symmetric solutions to the subcritical semilinear elliptic problem $$\displaylines{ -\Delta u = u^{\frac{N+2}{N-2}}/[\log(e+u)]^{\alpha}\quad \text{in } \Omega=B_R(0)\subset\mathbb{R}^N,\cr u>0,\quad ...
Rosa Pardo, Arturo Sanjuan
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Nonexistence of radial positive solutions for a nonpositone system in an annulus
Electronic Journal of Differential Equations, 2011 In this article we study the nonexistence of radial positive solutions for a nonpositone system in an annulus by using energy analysis and comparison methods.
Said Hakimi
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Nonexistence of radial positive solutions for a nonpositone problem
Electronic Journal of Differential Equations, 2011 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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