Results 11 to 20 of about 3,933 (187)
Complexity, 2020 The paper deals with the study of the existence of weak positive solutions for a new class of the system of elliptic differential equations with respect to the symmetry conditions and the right hand side which has been defined as multiplication of two ...
Youcef Bouizem +2 more
doaj +2 more sources
Boundary spike‐layer solutions of the singular Keller–Segel system: existence and stability
Proceedings of the London Mathematical Society, Volume 122, Issue 1, Page 42-68, January 2021., 2021 Abstract We explore the existence and nonlinear stability of boundary spike‐layer solutions of the Keller–Segel system with logarithmic singular sensitivity in the half space, where the physical zero‐flux and Dirichlet boundary conditions are prescribed.
Jose A. Carrillo +2 more
wiley +1 more source
Combined effects in nonlinear problems arising in the study of anisotropic continuous media [PDF]
, 2016 paper Abstract We are concerned with the Lane-Emden-Fowler equation − ∆ u = λk ( x ) u q ± h ( x ) u p in Ω, subject to the Dirichlet boundary condition u = 0 on ∂ Ω, where Ω is a smooth bounded domain in R N , k and h are variable potential functions ...
V. Ruadulescu, Dušan D. Repovš
semanticscholar +1 more source
Application of the Nonlinear Steepest Descent Method to the Coupled Sasa-Satsuma Equation
, 2021 We use spectral analysis to reduce Cauchy problem for the coupled SasaSatsuma equation to a 5 × 5 matrix Riemann-Hilbert problem. The upper and lower triangular factorisations of the jump matrix and a decomposition of the vector-valued spectral function ...
X. Geng
semanticscholar +1 more source
Global Limit Theorem for Parabolic Equations with a Potential [PDF]
SIAM Journal on Mathematical Analysis, 2021 We obtain the asymptotics, as t + |x| → ∞, of the fundamental solution to the heat equation with a compactly supported potential. It is assumed that the corresponding stationary operator has at least one positive eigenvalue.
L. Koralov, B. Vainberg
semanticscholar +1 more source
Open Mathematics, 2021 A nonlinear viscoelastic wave equation with Balakrishnan-Taylor damping and distributed delay is studied. By the energy method we establish the general decay rate under suitable hypothesis.
Choucha Abdelbaki +2 more
doaj +1 more source
Non-Degeneracy of Peak Solutions to the Schrödinger–Newton System
Advanced Nonlinear Studies, 2021 We are concerned with the following Schrödinger–Newton problem:
Guo Qing, Xie Huafei
doaj +1 more source
A bound on the group velocity for Bloch wave packets [PDF]
, 2015 We give a direct proof that the group velocities of Bloch wave packet solutions of periodic second order wave equations cannot exceed the maximal speed of propagation of the periodic wave ...
Allaire, Grégoire +2 more
core +1 more source
Advanced Nonlinear Studies, 2021 Through conformal map, isoperimetric inequalities are equivalent to the Hardy–Littlewood–Sobolev (HLS) inequalities involved with the Poisson-type kernel on the upper half space.
Tao Chunxia
doaj +1 more source
Stability result for Lord Shulman swelling porous thermo-elastic soils with distributed delay term
Open Mathematics, 2023 The Lord Shulman swelling porous thermo-elastic soil system with the presence of a distributed delay term is studied in this work. We will establish the well-posedness of the system and the exponential stability of the system is derived.
Choucha Abdelbaki +2 more
doaj +1 more source