搜索结果: 1-10 共查到“偏微分方程 symmetry”相关记录10条 . 查询时间(0.281 秒)
We prove a structure theorem for compact aspherical Lorentz manifolds with abundant local symmetry. If M is a compact, aspherical,
real-analytic, complete Lorentz manifold such that the isometry grou...
Symmetry results for the $p(x)$-Laplacian equation
Quasi-linear elliptic equations p(x)-Laplacian operator symmetrization partial symmetry
2012/6/25
We consider the Dirichlet problem for the nonlinear $p(x)$-Laplacian equation. For axially symmetric domains we prove that, under suitable assumptions, there exist Mountain-pass solutions which exhibi...
Symmetry group analysis and an optimal system
Benjamin-Bona-Mahoney equation symmetry group optimal systerm reduction equation
2011/10/17
In this paper，Smmetry group properties of Benjamin-Bona-Mahoney equation are analyzed.The symmetries and adjoint representations for this equation are given.Second,an optimal system of one-dimensional...
Existence of Minimizers of a class of multi-constrained variationnal problems in the absence of compactness, symmetry and monotonicity
Minimizers multi-constrained variationnal problems absence of compactness symmetry and monotonicity
2011/8/23
Abstract: We prove the existence of minimizers of a class of multi-constrained variational problems in which the non linearity involved does not sat- isfy compactness, monotonicity, neither symmetry p...
Spontaneous symmetry breaking in linearly coupled disk-shaped Bose-Einstein condensates
linearly coupled disk-shaped Bose-Einstein condensates Spontaneous symmetry breaking
2011/7/7
We study effects of tunnel coupling on a pair of parallel disk-shaped Bose-Einstein condensates with the self-attractive intrinsic nonlinearity. Each condensate is trapped in a combination of in-plane...
Spontaneous symmetry breaking of photonic and matter waves in two-dimensional pseudopotentials
Spontaneous symmetry breaking photonic matter waves two-dimensional pseudopotentials
2011/7/6
We introduce the two-dimensional Gross-Pitaevskii/nonlinear-Schrodinger (GP/NLS) equation with the self-focusing nonlinearity confined to two identical circles, separated or overlapped. The model can ...
A Discussion on the Different Notions of Symmetry of Differential Equations
Discussion Different Notions of Symmetry of Differential Equations
2011/1/19
A discussion is presented, within a simple unifying scheme, about dif-ferent types of symmetry of PDE’s, with the introduction and a precise characterization of the notions of “standard” and “weak” co...
The Inversion Symmetry of the WDVV Equations and Tau Functions
Inversion Symmetry WDVV Equations Tau Functions
2011/2/28
For two solutions of the WDVV equations that are related by the inversion symmetry, we show that the associated principal hierarchies of integrable systems are related by a reciprocal transformation, ...
Symmetry preserving self-adjoint extensions of Schrödinger operators with singular potentials
Symmetry preserving self-adjoint extensions Schrö dinger operators singular potentials
2011/1/21
We develop a general technique for finding self-adjoint extensions of a symmetric operator that respect a given set of its symmetries. Prob-lems of this type naturally arise when considering two- and ...
Symmetry-breaking bifurcation in the nonlinear Schrödinger equation with symmetric potentials
Symmetry-breaking bifurcation nonlinear Schrö dinger equation symmetric potentials
2011/2/22
We consider the focusing (attractive) nonlinear Schr¨odinger (NLS) equation with an external,
symmetric potential which vanishes at infinity and supports a linear bound state. We prove that
the symm...