Convergence of Radially Symmetric Solutions for (p, q)-Laplacian Elliptic Equations with a Damping Term
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Dynamics and Differential Equations"
DOI: 10.1007/s10884-016-9560-4
Abstract: This study considers the quasilinear elliptic equation with a damping term, $$\begin{aligned} \text {div}(D(u)\nabla u) + \frac{k(|{\mathbf {x}}|)}{|{\mathbf {x}}|}\,{\mathbf {x}}\cdot (D(u)\nabla u) + \omega ^2\big (|u|^{p-2}u + |u|^{q-2}u\big ) = 0, \end{aligned}$$div(D(u)∇u)+k(|x|)|x|x·(D(u)∇u)+ω2(|u|p-2u+|u|q-2u)=0,where $${\mathbf {x}}$$x is… read more here.
Keywords: convergence radially; damping term; mathbf; symmetric solutions ... See more keywords
The Gelfand–Shilov smoothing effect for the radially symmetric homogeneous Landau equation with Shubin initial datum
Sign Up to like & getrecommendations! Published in 2018 at "Comptes Rendus Mathematique"
DOI: 10.1016/j.crma.2018.04.022
Abstract: Abstract In this paper, we study the Cauchy problem associated with the radially symmetric spatially homogeneous non-cutoff Landau equation with Maxwellian molecules, while the initial datum belongs to negative-index Shubin space, which can be characterized… read more here.
Keywords: smoothing effect; gelfand shilov; radially symmetric; initial datum ... See more keywords
Bifurcations of radially symmetric solutions in a coupled elliptic system with critical growth in Rd for d = 3,4
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2019.123726
Abstract: Abstract We consider a system of coupled elliptic partial differential equations with critical growth in R d for d = 3 , 4 and study bifurcations of three families of radially symmetric, bounded solutions. We… read more here.
Keywords: system; critical growth; radially symmetric; three families ... See more keywords
Aggregation of biological particles under radial directional guidance.
Sign Up to like & getrecommendations! Published in 2017 at "Journal of theoretical biology"
DOI: 10.1016/j.jtbi.2017.05.039
Abstract: Many biological environments display an almost radially-symmetric structure, allowing proteins, cells or animals to move in an oriented fashion. Motivated by specific examples of cell movement in tissues, pigment protein movement in pigment cells and… read more here.
Keywords: aggregation; biological particles; particles radial; geometry ... See more keywords
Terahertz circular Airy vortex beams
Sign Up to like & getrecommendations! Published in 2017 at "Scientific Reports"
DOI: 10.1038/s41598-017-04373-6
Abstract: Vortex beams have received considerable research interests both in optical and millimeter-wave domain since its potential to be utilized in the wireless communications and novel imaging systems. Many well-known optical beams have been demonstrated to… read more here.
Keywords: radially symmetric; airy vortex; circular airy; vortex beams ... See more keywords
Radially symmetric sign-definite solutions for a class of nonlocal Schrödinger equations
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Mathematical Physics"
DOI: 10.1063/1.4974775
Abstract: We study a class of nonlinear Schrodinger equations driven by the infinitesimal generators of some general rotationally invariant Levy processes and with general nonlinearity. Regularity, sign-preserving property, and radial symmetry are shown for the solutions… read more here.
Keywords: class; sign definite; definite solutions; sign ... See more keywords
Radially Symmetric Solutions of the p-Laplace Equation with Gradient Terms
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Applied and Industrial Mathematics"
DOI: 10.1134/s1990478918040178
Abstract: We consider the Dirichlet problem for the p-Laplace equation with nonlinear gradient terms. In particular, these gradient terms cannot satisfy the Bernstein—Nagumo conditions. We obtain some sufficient conditions that guarantee the existence of a global… read more here.
Keywords: laplace equation; radially symmetric; gradient terms; symmetric solutions ... See more keywords
Stability estimate and regularization for a radially symmetric inverse heat conduction problem
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DOI: 10.1186/s13661-017-0785-x
Abstract: This paper investigates a radially symmetric inverse heat conduction problem, which determines the internal surface temperature distribution of the hollow sphere from measured data at the fixed location inside it. This is an inverse and… read more here.
Keywords: inverse heat; symmetric inverse; inverse; regularization ... See more keywords
Non-Coercive Radially Symmetric Variational Problems: Existence, Symmetry and Convexity of Minimizers
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DOI: 10.3390/sym11050688
Abstract: We prove the existence of radially symmetric solutions and the validity of Euler–Lagrange necessary conditions for a class of variational problems with slow growth. The results are obtained through the construction of suitable superlinear perturbations… read more here.
Keywords: coercive radially; non coercive; symmetric variational; symmetry ... See more keywords