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ELLIPTIC EQUATIONS AND SYSTEMS WITH CRITICAL TRUDINGER-MOSER NONLINEARITIES
(Amer Inst Mathematical SciencesSpringfieldEUA, 2011)
Evolution towards the steady state in a hopf bifurcation: A scaling investigation
(2018-01-01)
Some scaling properties describing the convergence for the steady state in a Hopf bifurcation are discussed. Two different procedures are considered in the investigation: (i) a phenomenological description obtained from ...
Functional RG approach to the Potts model
(2018-01-11)
The critical behavior of the (n + 1)-states Potts model in d-dimensions is studied with functional renormalization group techniques. We devise a general method to derive β-functions for continuous values of d and n and we ...
Bubbling solutions for nonlocal elliptic problems
(European Mathematical Society Publishing House, 2017)
We investigate bubbling solutions for the nonlocal equation Aω s u = up, u > 0 in ω, under homogeneous Dirichlet conditions, where ω is a bounded and smooth domain. The operator As ω stands for two types of nonlocal ...
On critical exponents for Lane-Emden-Fowler-type equations with a singular extremal operator
(2017)
In this article, we consider the nonlinear elliptic equation vertical bar del mu vertical bar(beta) M-lambda,Lambda(+) (D(2)u) + u(P) = 0 in R-N. Here, M-lambda,Lambda(+) denotes Pucci's extremal operator with parameters ...
The Ambrosetti-Prodi problem for gradient elliptic systems with critical homogeneous nonlinearity
(Academic Press Inc Elsevier ScienceSan DiegoEUA, 2010)
Convergence towards asymptotic state in 1-D mappings: a scaling investigation
(Elsevier B.V., 2015-06-26)
Decay to asymptotic steady state in one-dimensional logistic-like mappings is characterized by considering a phenomenological description supported by numerical simulations and confirmed by a theoretical description. As ...
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 ...
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 ...