Results 61 to 70 of about 579 (81)
On the existence of ground state solutions to nonlinear Schoedinger equations with multisingular inverse-square anisotropic potentials [PDF]
arXiv, 2008 A class of nonlinear Schroedinger equations with critical power-nonlinearities and potentials exhibiting multiple anisotropic inverse square singularities is investigated. Conditions on strength, location, and orientation of singularities are given for the minimum of the associated Rayleigh quotient to be achieved, both in the whole $\R^N$ and in ...
arxiv
Energy Critical NLS in two space dimensions [PDF]
arXiv, 2008 We investigate the initial value problem for a defocusing nonlinear Schr\"odingerequation with exponential nonlinearity. We identify subcritical, critical and supercritical regimes in the energy space. We establish global well-posedness in the subcritical and critical regimes. Well-posedness fails to hold in the supercritical case.
arxiv
Two solutions for Dirichlet double phase problems with variable exponents
Advanced Nonlinear StudiesThis paper is devoted to the study of a double phase problem with variable exponents and Dirichlet boundary condition. Based on an abstract critical point theorem, we establish existence results under very general assumptions on the nonlinear term, such ...
Amoroso Eleonora +3 more
doaj +1 more source
Early-life conditioning strategies to reduce dietary phosphorus in broilers: underlying mechanisms. [PDF]
J Nutr Sci, 2020 Valable AS +9 more
europepmc +1 more source
On the regularity of global attractors [PDF]
arXiv, 2009 This note is focused on a novel technique in order to establish the boundedness in more regular spaces for global attractors of dissipative dynamical systems, without appealing to uniform-in-time estimates. As an application of the abstract result, the semigroup generated by the strongly damped wave equation $$u_{tt}-\Delta u_t-\Delta u+\phi(u)=f ...
arxiv
Normalized solutions of Schrödinger equations involving Moser-Trudinger critical growth
Advances in Nonlinear AnalysisIn this article, we are concerned with the nonlinear Schrödinger equation −Δu+λu=μ∣u∣p−2u+f(u),inR2,-\Delta u+\lambda u=\mu {| u| }^{p-2}u+f\left(u),\hspace{1em}\hspace{0.1em}\text{in}\hspace{0.1em}\hspace{0.33em}{{\mathbb{R}}}^{2}, having prescribed ...
Li Gui-Dong, Zhang Jianjun
doaj +1 more source
Regularity and blow-up in a surface growth model [PDF]
arXiv, 2009 The paper contains several regularity results and blow-up criterions for a surface growth model, which seems to have similar properties to the 3D Navier-Stokes, although it is a scalar equation. As a starting point we focus on energy methods and Lyapunov-functionals.
arxiv
Advances in Nonlinear AnalysisThis article is devoted to studying the existence of positive solutions to the following fractional Choquard equation: (−Δ)su+u=∫Ω∣u(y)∣p∣x−y∣N−αdy∣u∣p−2u+ε∫Ω∣u(y)∣2α,s*∣x−y∣N−αdy∣u∣2α,s*−2u,inΩ,u=0,onRN\Ω,\left\{\begin{array}{ll}{\left(-\Delta )}^{s}u+u=
Ye Fumei, Yu Shubin, Tang Chun-Lei
doaj +1 more source
Advances in Nonlinear AnalysisIn this article, we study the following fractional Schrödinger-Poisson system: ε2s(−Δ)su+V(x)u+ϕu=f(u)+∣u∣2s*−2u,inR3,ε2t(−Δ)tϕ=u2,inR3,\left\{\begin{array}{ll}{\varepsilon }^{2s}{\left(-\Delta )}^{s}u+V\left(x)u+\phi u=f\left(u)+{| u| }^{{2}_{s}^{* }-2 ...
Feng Shenghao +2 more
doaj +1 more source
Advances in Nonlinear AnalysisThis article is concerned with the qualitative properties for the Cauchy problem of a non-Newtonian filtration equation with a reaction source term and volumetric moisture content.
Huo Wentao, Fang Zhong Bo
doaj +1 more source