Uniqueness of nodal radial solutions to nonlinear elliptic equations in the unit ball
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DOI: 10.1002/mma.10031
Abstract: In this paper, we study the uniqueness of nodal radial solutions to nonlinear elliptic equations in the unit ball in ℝ3$$ {\mathrm{\mathbb{R}}}^3 $$ . Under suitable conditions, we prove that, for any given positive integer… read more here.
Keywords: nonlinear elliptic; elliptic equations; solutions nonlinear; uniqueness nodal ... See more keywords
Multiple positive radial solutions for Neumann elliptic systems with gradient dependence
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DOI: 10.1002/mma.5143
Abstract: We provide new results on the existence, non-existence and multiplicity of non-negative radial solutions for semilinear elliptic systems with Neumann boundary conditions on an annulus. Our approach is topological and relies on the classical fixed… read more here.
Keywords: neumann elliptic; solutions neumann; multiple positive; positive radial ... See more keywords
On maximum principles for solutions to nonlinear elliptic ODEs and radial solutions to nonlinear elliptic PDE's via Opial‐type inequalities
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DOI: 10.1002/mma.7055
Abstract: We consider degenerated nonlinear PDE of elliptic type: −div(a(|x|)|∇w(x)|p−2∇w(x))+h|x|,w(x),∇w(x),x|x|=ϕ(w(x)), a.e. in the ball in ℝn . Using the argument based on Opial‐type inequalities, we investigate qualitative properties of their radial solutions, like, for example, the… read more here.
Keywords: radial solutions; solutions nonlinear; type inequalities; opial type ... See more keywords
Uniqueness of positive radial solutions of superlinear elliptic equations in annuli
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DOI: 10.1016/j.jde.2021.02.047
Abstract: Abstract We present a generalized comparison identity for a two point boundary value problem, and we apply it to show the uniqueness of positive radial solutions of { Δ u ( x ) + f… read more here.
Keywords: radial solutions; uniqueness positive; positive radial; solutions superlinear ... See more keywords
On the structure of radial solutions for some quasilinear elliptic equations
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DOI: 10.1016/j.jmaa.2018.10.019
Abstract: Abstract In this paper we study entire radial solutions for the quasilinear p-Laplace equation Δ p u + k ( x ) f ( u ) = 0 where k is a radial positive weight… read more here.
Keywords: radial solutions; solutions quasilinear; quasilinear elliptic; elliptic equations ... See more keywords
Nonconstant positive radial solutions for Neumann problem involving the mean extrinsic curvature operator
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DOI: 10.1016/j.jmaa.2019.123728
Abstract: Abstract Let B be the unit ball in R N with N ≥ 2 . Let f ∈ C 1 ( [ 0 , ∞ ) , R ) , f ( 0 ) =… read more here.
Keywords: nonconstant positive; solutions neumann; neumann problem; positive radial ... See more keywords
Global and blow-up radial solutions for quasilinear elliptic systems arising in the study of viscous, heat conducting fluids
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DOI: 10.1088/1361-6544/ab08f8
Abstract: We study positive radial solutions of quasilinear elliptic systems with a gradient term in the form $$ \left\{ \begin{aligned} \Delta_{p} u&=v^{m}|\nabla u|^{\alpha}&&\quad\mbox{ in }\Omega,\\ \Delta_{p} v&=v^{\beta}|\nabla u|^{q} &&\quad\mbox{ in }\Omega, \end{aligned} \right. $$ where $\Omega\subset\R^N$… read more here.
Keywords: study; elliptic systems; solutions quasilinear; radial solutions ... See more keywords
The Existence of Radial Solutions to the Schrödinger System Containing a Nonlinear Operator
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DOI: 10.3390/axioms11060282
Abstract: In this paper, we investigate a class of nonlinear Schrödinger systems containing a nonlinear operator under Osgood-type conditions. By employing the iterative technique, the existence conditions for entire positive radial solutions of the above problem… read more here.
Keywords: radial solutions; nonlinear operator; containing nonlinear; schr dinger ... See more keywords
Remarks on Radial Solutions of a Parabolic Gelfand-Type Equation
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DOI: 10.3390/axioms11090429
Abstract: We consider an equation with exponential nonlinearity under the Dirichlet boundary condition. For a one- or two-dimensional domain, a global solution has been obtained. In this paper, to extend the result to a higher dimensional… read more here.
Keywords: remarks radial; equation; radial solutions; solutions parabolic ... See more keywords
On the Radial Solutions of the Dirac Equation in the Kerr-Newman Black Hole Surrounded by a Cloud of Strings
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DOI: 10.3390/axioms12020187
Abstract: In this paper, we obtain the metric of the space-time generated by a charged and rotating gravitational body surrounded by a loud of strings, namely, the Kerr–Newman black hole space-time with the addition of a… read more here.
Keywords: kerr newman; radial solutions; black hole; newman black ... See more keywords
The Existence and Uniqueness of Radial Solutions for Biharmonic Elliptic Equations in an Annulus
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DOI: 10.3390/axioms13060383
Abstract: This paper concerns with the existence of radial solutions of the biharmonic elliptic equation ▵2u=f(|x|,u,|∇u|,▵u) in an annular domain Ω={x∈RN:r1 read more here.
Keywords: solutions biharmonic; elliptic equations; existence uniqueness; uniqueness radial ... See more keywords