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Some remarks on the method of moving planes (Studies on structure of solutions of nonlinear PDEs and its analytical methods)openaire
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A direct method of moving planes for the Logarithmic Laplacian
Applied Mathematics Letters, 2021In this paper, a direct method of moving planes for the Logarithmic Laplacian is developed. Some key concepts of the method such as Maximum principle for anti-symmetric functions, Narrow region principle and Decay at infinity are discussed.
Lihong Zhang, Xiaofeng Nie
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On the method of moving planes and the sliding method
Boletim da Sociedade Brasileira de Matem�tica, 1991zbMATH Open Web Interface contents unavailable due to conflicting licenses.
H. Berestycki, L. Nirenberg
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Direct Method of Moving Planes for Tempered Fractional Laplacian Equations
Frontiers of MathematicszbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lu Wang, Baiyu Liu
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Estimates of the scalar curvature equation via the method of moving planes III
Communications on Pure and Applied Mathematics, 2000This note continues previous work of the author and \textit{C.-C. Chen} [Part I, cf. ibid. 50, 971--1017 (1997; Zbl 0958.35013), Part II, J. Differ. Geom. 49, 115--178 (1998; Zbl 0961.35047)]. It continues to study the local behaviour or a positive singular solution of \(u\) of the equation \[ \Delta u+ K(x)^{{n+2\over n-2}}\leq 0\quad\text{in }B_2 ...
Changshou Lin
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A direct method of moving planes for the system of the fractional Laplacian
Pacific Journal of Mathematics, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
C. Cheng, Zhongxue Lü, Yingshu Lü
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Journal of Differential Equations, 2018
In this paper, we are concerned with the fractional order static Hartree equations with critical nonlocal nonlinearity. We prove that the positive solutions are radially symmetric about some point in R d and must assume the certain explicit forms.
Wei Dai, Yanqin Fang, Guolin Qin
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In this paper, we are concerned with the fractional order static Hartree equations with critical nonlocal nonlinearity. We prove that the positive solutions are radially symmetric about some point in R d and must assume the certain explicit forms.
Wei Dai, Yanqin Fang, Guolin Qin
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Method of Moving Planes in Integral Forms
The Fractional Laplacian, 2020semanticscholar +2 more sources
The Method of Moving Planes for Integral Equation in an Extremal Case
Journal of Partial Differential Equations, 2016Wang Ying, Wang Jian
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Annali di Matematica Pura ed Applicata, 2020
In this paper, we establish various maximum principles and develop the method of moving planes for equations involving the uniformly elliptic nonlocal Bellman operator. As a consequence, we derive multiple applications of these maximum principles and the
Wei Dai, Guolin Qin
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In this paper, we establish various maximum principles and develop the method of moving planes for equations involving the uniformly elliptic nonlocal Bellman operator. As a consequence, we derive multiple applications of these maximum principles and the
Wei Dai, Guolin Qin
semanticscholar +1 more source