Results 11 to 20 of about 184 (91)

Radial symmetry and monotonicity for an integral equation

Journal of Mathematical Analysis and Applications, 2008
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Ma, Li, Chen, Dezhong
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On the moving plane method for boundary blow-up solutions to semilinear elliptic equations

Advances in Nonlinear Analysis, 2018
We consider weak solutions to -Δ⁢u=f⁢(u){-\Delta u=f(u)} on Ω1∖Ω0{\Omega_{1}\setminus\Omega_{0}}, with u=c≥0{u=c\geq 0} in ∂⁡Ω1{\partial\Omega_{1}} and u=+∞{u=+\infty} on ∂⁡Ω0{\partial\Omega_{0}}, and we prove monotonicity properties of the solutions via
Canino Annamaria, Sciunzi Berardino, Trombetta Alessandro   +2 more
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Radial Symmetry and Monotonicity Results for an Integral Equation

, 2004
In this paper, we consider radial symmetry property of positive solutions of an integral equation arising from some higher order semi-linear elliptic equations on the whole space $\mathbf{R}^n$. We do not use the usual way to get symmetric result by using moving plane method.
Ma, Li, Chen, DeZhong
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Some Properties of Positive Solutions for Nonlinear Systems Involving Pseudo-Relativistic Operators

Fractal and Fractional
In this paper, we mainly investigate the radial symmetry and monotonicity of positive solutions for a nonlinear system involving pseudo-relativistic operators and fractional derivatives of order (0,1).
Xiaoshan Wang, Zengbao Wu
doaj   +1 more source

Regularity of stable solutions to semilinear elliptic equations on Riemannian models

Advances in Nonlinear Analysis, 2015
We consider the reaction-diffusion problem -Δgu = f(u) in ℬR with zero Dirichlet boundary condition, posed in a geodesic ball ℬR with radius R of a Riemannian model (M,g).
Castorina Daniele, Sanchón Manel
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Qualitative properties of solutions for dual fractional parabolic equations involving nonlocal Monge-Ampère operator

Advances in Nonlinear Analysis
In this article, we mainly study the qualitative properties of solutions for dual fractional-order parabolic equations with nonlocal Monge-Ampère operators in different domains ∂tβμ(y,t)−Dατμ(y,t)=f(μ(y,t)).{\partial }_{t}^{\beta }\mu \left(y,t)-{D}_ ...
Yang Zerong, He Yong
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The Radial Symmetry and Monotonicity of Solutions of Fractional Parabolic Equations in the Unit Ball

Symmetry
We use the method of moving planes to prove the radial symmetry and monotonicity of solutions of fractional parabolic equations in the unit ball. Since the fractional Laplacian operator is a linear operator, we investigate the maximal regularity of nonlocal parabolic fractional Laplacian equations in the unit ball.
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Minimal Morphoelastic Models of Solid Tumour Spheroids: A Tutorial. [PDF]

Bull Math Biol, 2023
Walker BJ, Celora GL, Goriely A, Moulton DE, Byrne HM.   +4 more
europepmc   +1 more source

Local Intrinsic Dimensionality, Entropy and Statistical Divergences. [PDF]

Entropy (Basel), 2022
Bailey J, Houle ME, Ma X.
europepmc   +1 more source

The Optimal Axis-Symmetrical Plasma Potential Distribution for Plasma Mass Separation. [PDF]

Molecules, 2022
Oiler AP, Liziakin GD, Gavrikov AV, Smirnov VP.   +3 more
europepmc   +1 more source