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Statistical properties of a dissipative kicked system: Critical exponents and scaling invariance
(Elsevier B.V., 2012-01-16)
A new universal empirical function that depends on a single critical exponent (acceleration exponent) is proposed to describe the scaling behavior in a dissipative kicked rotator. The scaling formalism is used to describe ...
Finding critical exponents for two-dimensional Hamiltonian maps
(Amer Physical Soc, 2010-04-01)
The transition from integrability to nonintegrability for a set of two-dimensional Hamiltonian mappings exhibiting mixed phase space is considered. The phase space of such mappings show a large chaotic sea surrounding ...
Finding critical exponents for two-dimensional Hamiltonian maps
(2010-04-26)
The transition from integrability to nonintegrability for a set of two-dimensional Hamiltonian mappings exhibiting mixed phase space is considered. The phase space of such mappings show a large chaotic sea surrounding ...
Three solutions for a nonlocal problem with critical growth
(Academic Press Inc Elsevier Science, 2019-01)
The main goal of this work is to prove the existence of three different solutions (one positive, one negative and one with nonconstant sign) for the equation (−Δp)su=|u|ps ⁎−2u+λf(x,u) in a bounded domain with Dirichlet ...
Multiple Solutions for the p ( x ) − Laplace Operator with Critical Growth
(Advanced Nonlinear Studies, Inc, 2011-01)
The aim of this paper is to extend previous results regarding the multiplicity of solutions for quasilinear elliptic problems with critical growth to the variable exponent case. We prove, in the spirit of [4], the existence ...
Universality and criticality of a second-order granular solid-liquid-like phase transition
(American Physical Society, 2015)
We experimentally study the critical properties of the nonequilibrium solid-liquid-like transition that takes place in vibrated granular matter. The critical dynamics is characterized by the coupling of the density field ...
Boundary Singularities on a Wedge-like Domain of a Semilinear Elliptic Equation
(Cambridge Univ Press, 2015)
Let n >= 2 and let Omega subset of Rn+1 be a Lipschitz wedge-like domain. We construct positive weak solutions of the problem
Delta u + u(P) = 0 in Omega
that vanish in a suitable trace sense on partial derivative ...