Radial symmetry for a generalized nonlinear fractional p-Laplacian problem [PDF]
Nonlinear Analysis, 2021 This paper first introduces a generalized fractional p-Laplacian operator (–Δ)sF;p. By using the direct method of moving planes, with the help of two lemmas, namely decay at infinity and narrow region principle involving the generalized fractional p ...
Wenwen Hou +3 more
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Qualitative Numerical Analysis of a Free-Boundary Diffusive Logistic Model [PDF]
Mathematics, 2023 A two-dimensional free-boundary diffusive logistic model with radial symmetry is considered. This model is used in various fields to describe the dynamics of spreading in different media: fire propagation, spreading of population or biological invasions.
María Consuelo Casabán +3 more
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Symmetry of standing waves for two kinds of fractional Hardy-Schrödinger equations
Alexandria Engineering Journal, 2021 In this paper, we consider two kinds of nonlinear Schrödinger equations with the fractional Laplacian and Hardy potential (λ|x|s ...
Guotao Wang +3 more
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Radial symmetry of a relativistic Schrödinger tempered fractional p-Laplacian model with logarithmic nonlinearity [PDF]
Nonlinear Analysis, 2022 In this paper, by introducing a relativistic Schrödinger tempered fractional p-Laplacian operator (–Δ)p,λs,m, based on the relativistic Schrödinger operator (–Δ + m2)s and the tempered fractional Laplacian (Δ + λ)β/2, we consider a relativistic ...
Wenwen Hou, Lihong Zhang
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Radial Symmetry and Monotonicity of Solutions to a System Involving Fractional p-Laplacian in a Ball
Advances in Mathematical Physics, 2018 In this paper, we study a nonlinear system involving the fractional p-Laplacian in a unit ball and establish the radial symmetry and monotonicity of its positive solutions. By using the direct method of moving planes, we prove the following result.
Linfen Cao, Xiaoshan Wang, Zhaohui Dai
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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 -Δu=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 +2 more
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Some Properties of Positive Solutions for Nonlinear Systems Involving Pseudo-Relativistic Operators
Fractal and FractionalIn 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
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Advances in Nonlinear AnalysisIn this article, first, we introduce a new operator (∂t−Δp)su(z,t)=Cn,sp∫−∞t∫Rn∣u(z,t)−u(ζ,ϱ)∣p−2(u(z,t)−u(ζ,ϱ))(t−ϱ)n2+1+sp2e−∣z−ζ∣24(t−ϱ)dζdϱ,{\left({\partial }_{t}-{\Delta }_{p})}^{s}u\left(z,t)={C}_{n,sp}\underset{-\infty }{\overset{t}{\int }}\mathop{
Liu Mengru, Zhang Lihong
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Anisotropic flows into black holes
Journal of High Energy Physics, 2023 We consider anisotropic black holes in the context of holographic renormalization group (RG) flows. We construct an a-function that is stationary at the boundary and the horizon and prove that it is also monotonic in both the exterior and the interior of
Elena Caceres, Sanjit Shashi
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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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