Results 21 to 30 of about 317,601 (325)
A nonlocal supercritical Neumann problem [PDF]
, 2019 We establish existence of positive non-decreasing radial solutions for a nonlocal nonlinear Neumann problem both in the ball and in the annulus. The nonlinearity that we consider is rather general, allowing for supercritical growth (in the sense of ...
Cinti, Eleonora, Colasuonno, Francesca
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Structure of Positive Radial Solutions of Semilinear Elliptic Equations
Journal of Differential Equations, 1997 This article primarily concerns uniqueness and asymptotic behavior of positive radial solutions to the semilinear problems (1) \(-\Delta u=f(u)\) in \(\mathbb{R}^n\), \(u(\infty)=0\); and (2) \(-\Delta u=f(u)\) in \(B\), \(u|_{\partial B}=0\), where \(B\) denotes a ball in \(\mathbb{R}^n\) centred at the origin, and \(f(t)= \min\{t^p,t^q\}\) for ...
Erbe, Lynn, Tang, Moxun
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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
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Anisotropic Stars in General Relativity [PDF]
, 2001 We present a class of exact solutions of Einstein's gravitational field equations describing spherically symmetric and static anisotropic stellar type configurations. The solutions are obtained by assuming a particular form of the anisotropy factor.
Harko, T., Mak, M. K.
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Multiple positive radial solutions to some Kirchhoff equations
Journal of Mathematical Analysis and Applications, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Li, Fuyi, Guan, Chen, Feng, Xiaojing
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Qualitative properties of solutions for an integral system related to the Hardy-Sobolev inequality [PDF]
, 2014 This article carries out a qualitative analysis on a system of integral equations of the Hardy--Sobolev type. Namely, results concerning Liouville type properties and the fast and slow decay rates of positive solutions for the system are established. For
Villavert, John
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Existence of positive radial solutions to a p-Laplacian Kirchhoff type problem on the exterior of a ball [PDF]
Opuscula Mathematica, 2022 In this paper the authors study the existence of positive radial solutions to the Kirchhoff type problem involving the \(p\)-Laplacian \[-\Big(a+b\int_{\Omega_e}|\nabla u|^p dx\Big)\Delta_p u=\lambda f\left(|x|,u\right),\ x\in \Omega_e,\quad u=0\ \text ...
John R. Graef +2 more
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Multiple radial positive solutions of semilinear elliptic problems with Neumann boundary conditions [PDF]
, 2016 Assuming $B_{R}$ is a ball in $\mathbb R^{N}$, we analyze the positive solutions of the problem \[ \begin{cases} -\Delta u+u= |u|^{p-2}u, &\text{ in } B_{R},\newline \partial_{\nu}u=0,&\text{ on } \partial B_{R}, \end{cases} \] that branch out ...
Bonheure, Denis +2 more
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Existence of Positive Radial Solutions for Elliptic Systems
Journal of Mathematical Analysis and Applications, 1996 This article is devoted to the study of the equation \(\partial\theta/\partial t=\text{div}({\mathcal R}\nabla p_t)+f\), where \(\theta(t,x)\) is the saturation, \(\mathcal R\) is the matrix \((a_{ij})=(\rho/\mu)\kappa_{ij}\), where the \(n\times n\)-matrix \((\kappa_{ij}(x))\) describes the permeability of the medium, \(\mu\) is the viscosity of the ...
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, 2004 We give a complete classification of all static, spherically symmetric solutions of the SU(2) Einstein-Yang-Mills theory with a positive cosmological constant. Our classification proceeds in two steps.
Breitenlohner, Peter +2 more
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