On the symmetry of minimizers in constrained quasi-linear problems [PDF]
arXiv, 2010 We provide a simple proof of the radial symmetry of any nonnegative minimizer for a general class of quasi-linear minimization problems.
arxiv
On Ekeland's variational principle [PDF]
arXiv, 2010 For proper lower semi-continuous functionals bounded below which do not increase upon polarization, an improved version of Ekeland's variational principle can be formulated in Banach spaces, which provides almost symmetric points.
arxiv
Coverings over Lax integrable equations and their nonlocal symmetries [PDF]
, 2015 Using the Lax representation with non-removable parameter, we construct two hierarchies of nonlocal conservation laws for the 3D rdDym equation $u_{ty} = u_xu_{xy} - u_yu_{xx}$ and describe the algebras of nonlocal symmetries in the corresponding coverings.
arxiv +1 more source
Cheng Equation: A Revisit Through Symmetry Analysis
, 2019 The symmetry analysis of the Cheng Equation is performed. The Cheng Equation is reduced to a first-order equation of either Abel's Equations, the analytic solution of which is given in terms of special functions.
Halder, Amlan K +3 more
core
Symmetry breaking of solutions of non-cooperative elliptic systems [PDF]
arXiv, 2013 In this article we study the symmetry breaking phenomenon of solutions of noncooperative elliptic systems. We apply the degree for G-invariant strongly indefinite functionals to obtain simultaneously a symmetry breaking and a global bifurcation phenomenon.
arxiv
Multiple $\mathbb{S}^{1}$-orbits for the Schrödinger-Newton system [PDF]
arXiv, 2013 We prove existence and multiplicity of symmetric solutions for the \emph{Schr\"odinger-Newton system} in three dimensional space using equivariant Morse theory.
arxiv
Outbreak of Klebsiella pneumoniae ST11 Resistant To Ceftazidime-Avibactam Producing KPC-31 and the Novel Variant KPC-115 during COVID-19 Pandemic in Argentina. [PDF]
Microbiol Spectr, 2022 Nicola F +9 more
europepmc +1 more source
Symmetry of n-mode positive solutions for two-dimensional H\'enon type systems
, 2013 We provide a symmetry result for n-mode positive solutions of a general class of semi-linear elliptic systems under cooperative conditions on the nonlinearities.
Shioji, Naoki, Squassina, Marco
core
Symmetries in an overdetermined problem for the Green's function [PDF]
arXiv, 2009 We consider in the plane the problem of reconstructing a domain from the normal derivative of its Green's function with pole at a fixed point in the domain. By means of the theory of conformal mappings, we obtain existence, uniqueness, (non-spherical) symmetry results, and a formula relating the curvature of the boundary of the domain to the normal ...
arxiv
Solutions to nonlinear Schrödinger equations with singular electromagnetic potential and critical exponent [PDF]
arXiv, 2010 We investigate existence and qualitative behaviour of solutions to nonlinear Schr\"odinger equations with critical exponent and singular electromagnetic potentials. We are concerned with magnetic vector potentials which are homogeneous of degree -1, including the Aharonov-Bohm class.
arxiv