Nonlocal problems with singular nonlinearity
نویسندگان
چکیده
منابع مشابه
Bifurcation and Asymptotics for Elliptic Problems with Singular Nonlinearity
We report on some recent existence and uniqueness results for elliptic equations subject to Dirichlet boundary condition and involving a singular nonlinearity. We take into account the following types of problems: (i) singular problems with sublinear nonlinearity and two parameters; (ii) combined effects of asymptotically linear and singular nonlinearities in bifurcation problems; (iii) bifurca...
متن کاملSingular limits for reaction-diffusion equations with fractional Laplacian and local or nonlocal nonlinearity
We perform an asymptotic analysis of models of population dynamics with a fractional Laplacian and local or nonlocal reaction terms. The first part of the paper is devoted to the long time/long range rescaling of the fractional Fisher-KPP equation. This rescaling is based on the exponential speed of propagation of the population. In particular we show that the only role of the fractional Laplac...
متن کاملDispersive shock waves with nonlocal nonlinearity.
We consider dispersive optical shock waves in nonlocal nonlinear media. Experiments are performed using spatial beams in a thermal liquid cell, and results agree with a hydrodynamic theory of propagation.
متن کاملQuasilinearization Method and Nonlocal Singular Three Point Boundary Value Problems
The method of upper and lower solutions and quasilinearization for nonlinear singular equations of the type −x(t) + λx(t) = f(t, x(t)), t ∈ (0, 1), subject to nonlocal three-point boundary conditions x(0) = δx(η), x(1) = 0, 0 < η < 1, are developed. Existence of a C1 positive solution is established. A monotone sequence of solutions of linear problems converging uniformly and rapidly to a solut...
متن کاملNonlocal ponderomotive nonlinearity in plasmonics.
We analyze an inherent nonlinearity of surface plasmon polaritons at the interface of Fermi-Dirac metal plasma, stemming from the depletion of electron density in high-intensity regions. The derived optical nonlinear coefficients are comparable with the experimental values for metals. We calculate the dispersion relations for the nonlinear propagation of high-intensity surface plasmon polariton...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Bulletin des Sciences Mathématiques
سال: 2017
ISSN: 0007-4497
DOI: 10.1016/j.bulsci.2017.01.002