Results 21 to 30 of about 363 (56)
Symmetry of solutions to singular fractional elliptic equations and applications
, 2020 In this article, we study the symmetry of positive solutions to a class of singular semilinear elliptic equations whose prototype is (P ) { (−∆)s u = 1 uδ + f (u), u > 0 inΩ; u = 0 in Rn \Ω, where 0 < s < 1, n ≥ 2s, Ω = Br (0) ⊂ Rn , δ > 0, f (u) is a ...
R. Arora +3 more
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Existence of Ground States of Fractional Schrödinger Equations
Advanced Nonlinear Studies, 2021 We consider ground states of the nonlinear fractional Schrödinger equation with ...
Ma Li, Li Zhenxiong
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Old Symmetry Problem Revisited
Open Journal of Mathematical Analysis, 2018 It is proved that if the problem ∇2u = 1 in D, u|S = 0, uN = m := |D|/|S| then D is a ball. There were at least two different proofs published of this result. The proof given in this paper is novel and short.
A. Ramm
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The Moving Plane Method for Doubly Singular Elliptic Equations Involving a First-Order Term
Advanced Nonlinear Studies, 2021 In this paper we deal with positive singular solutions to semilinear elliptic problems involving a first-order term and a singular nonlinearity. Exploiting a fine adaptation of the well-known moving plane method of Alexandrov–Serrin and a careful choice ...
Esposito Francesco, Sciunzi Berardino
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Global existence and nonexistence of solutions for quasilinear parabolic equation
Boundary Value Problems, 2014 This work is concerned with the global existence and nonexistence of solutions for a quasilinear parabolic equation with null Dirichlet boundary condition.
Xianghui Xu, Yong-Hoon Lee, Z. Fang
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Simple partially invariant solutions
Ufimskii Matematicheskii Zhurnal, 2019 The continuous medium models of hydrodynamic type admit 11th dimensional Lie algebra of Galilean group enlarged by uniform dilatation of all independent variables. All subalgebras of this Lie algebra are listed up to inner automorphisms.
S. Khabirov
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GROUP FOLIATION OF DIFFERENTIAL EQUATIONS USING MOVING FRAMES
Forum of Mathematics, Sigma, 2015 We incorporate the new theory of equivariant moving frames for Lie pseudogroups into Vessiot’s method of group foliation of differential equations. The automorphic system is replaced by a set of reconstruction equations on the pseudogroup jets.
ROBERT THOMPSON, FRANCIS VALIQUETTE
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Nonexistence Results for Semilinear Equations in Carnot Groups
Analysis and Geometry in Metric Spaces, 2013 In this paper, following [3], we provide some nonexistence results for semilinear equations in the the class of Carnot groups of type ★.This class, see [20], contains, in particular, all groups of step 2; like the Heisenberg group, and also Carnot ...
Ferrari Fausto, Pinamonti Andrea
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Supplement a high-dimensional time fractional diffusion equation
Alexandria Engineering Journal, 2023 In this article, we discussed a high-dimensional time fractional diffusion equation which is used to write many nonlinear phenomena in three dimensional space diffusion processes.
Jian-Gen Liu, Fa-Zhan Geng, Xin Li
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On similarity solutions to (2+1)-dispersive long-wave equations
Journal of Ocean Engineering and Science, 2023 This work is devoted to get a new family of analytical solutions of the (2+1)-coupled dispersive long wave equations propagating in an infinitely long channel with constant depth, and can be observed in an open sea or in wide channels.
Raj Kumar +2 more
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