Results 1 to 10 of about 62 (62)

Logistic damping effect in chemotaxis models with density-suppressed motility

Advances in Nonlinear Analysis, 2022
This paper is concerned with a parabolic-elliptic chemotaxis model with density-suppressed motility and general logistic source in an n-dimensional smooth bounded domain with Neumann boundary conditions.
Lyu Wenbin, Wang Zhi-An
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Half-space Gaussian symmetrization: applications to semilinear elliptic problems

Advances in Nonlinear Analysis, 2021
We consider a class of semilinear equations with an absorption nonlinear zero order term of power type, where elliptic condition is given in terms of Gauss measure.
Díaz J. I., Feo F., Posteraro M. R.
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A variant of Clark’s theorem and its applications for nonsmooth functionals without the global symmetric condition

Advances in Nonlinear Analysis, 2021
We give a new non-smooth Clark’s theorem without the global symmetric condition. The theorem can be applied to generalized quasi-linear elliptic equations with small continous perturbations.
Huang Chen
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A sharp global estimate and an overdetermined problem for Monge-Ampère type equations

Advanced Nonlinear Studies, 2022
We consider Monge-Ampère type equations involving the gradient that are elliptic in the framework of convex functions. Through suitable symmetrization we find sharp estimates to solutions of such equations.
Mohammed Ahmed, Porru Giovanni
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Hessian equations of Krylov type on compact Hermitian manifolds

Open Mathematics, 2022
In this article, we are concerned with the equations of Krylov type on compact Hermitian manifolds, which are in the form of the linear combinations of the elementary symmetric functions of a Hermitian matrix.
Zhou Jundong, Chu Yawei
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On global existence and nonexistence of solutions to a quasi-linear wave equation with memory, nonlinear damping and source terms

Scientific African, 2021
In this paper, we consider a quasi-linear wave equation with memory, nonlinear source and damping termsutt−Δut−∑i=1n∂∂xiσi(uxi)+∫0tm(t−s)Δuds+f(ut)=g(u).Under some polynomial growth conditions on the nonlinear functions σi(i=1,2,…,n),  f and g, we obtain
Paul A. Ogbiyele
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Strichartz estimates for orthonormal families of initial data and weighted oscillatory integral estimates

Forum of Mathematics, Sigma, 2021
We establish new Strichartz estimates for orthonormal families of initial data in the case of the wave, Klein–Gordon and fractional Schrödinger equations.
Neal Bez, Sanghyuk Lee, Shohei Nakamura
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Quasilinear elliptic equations with critical potentials

Advances in Nonlinear Analysis, 2017
We study Liouville theorems for problems of the ...
D’Ambrosio Lorenzo, Mitidieri Enzo
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Unconditional uniqueness for the energy-critical nonlinear Schrödinger equation on $\mathbb {T}^{4}$

Forum of Mathematics, Pi, 2022
We consider the $\mathbb {T}^{4}$ cubic nonlinear Schrödinger equation (NLS), which is energy-critical. We study the unconditional uniqueness of solutions to the NLS via the cubic Gross–Pitaevskii hierarchy, an uncommon method for NLS analysis which is ...
Xuwen Chen, Justin Holmer
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Calderón–Zygmund theory for parabolic obstacle problems with nonstandard growth

Advances in Nonlinear Analysis, 2014
We establish local Calderón–Zygmund estimates for solutions to certain parabolic problems with irregular obstacles and nonstandard p(x,t)${p(x,t)}$-growth.
Erhardt André
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