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Small-density solutions in Keller-Segel systems involving rapidly decaying diffusivities

期刊: NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2021; 28 (5)

In a smoothly bounded domain Omega subset of R-n, n >= 1, the quasilinear Keller-Segel system {u(t) = del . (D(u)del u) - del . (S(u)del v), (*) v(......

Stability estimate for a semilinear elliptic inverse problem

期刊: NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2021; 28 (4)

We establish a logarithmic stability estimate for the inverse problem of determining the nonlinear term, appearing in a semilinear boundary value prob......

Liouville theorem of the 3D stationary MHD system: for D-solutions converging to non-zero constant vectors

期刊: NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2021; 28 (2)

In this paper, we derive the Liouville theorem of D-solutions to the stationary MHD system under the asymptotic assumption: one of the velocity field ......

Stochastic dynamics of a neural field lattice model with state dependent nonlinear noise

期刊: NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2021; 28 (4)

The well-posedness and long term dynamics of a stochastic non-autonomous neural field lattice system on vector-valued indices Z(d) driven by state dep......

Classification of Ground-states of a coupled Schrodinger system

期刊: NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2021; 28 (2)

The paper is concerned with the existence of nontrivial ground-state solutions for a coupled nonlinear Schrodinger system {-Delta u(j) + lambda u(j) =......

Multiple solutions of higher topological type for semiclassical nonlinear Schrodinger equations

期刊: NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2021; 28 (1)

In this paper we study the semiclassical nonlinear Schrodinger equation -epsilon(2)Delta v + V(x)v = f(v), x is an element of R-N. where V is an eleme......

Multi-scale spike solutions for nonlinear coupled elliptic systems with critical frequency

期刊: NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2021; 28 (3)

In this paper, we study the following elliptic system {-epsilon(2)Delta u + P-1(x)u = P-1(x)u = mu(1)u(3 )+ beta uu(2 )in R-3, -epsilon(2)Delta u + p(......

Scattering for the quadratic Klein-Gordon equations

期刊: NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2020; 27 (3)

We study the scattering problems for the quadratic Klein-Gordon equations with radial initial data in the energy space. For 3D, we prove small data sc......

Synchronization of stochastic lattice equations

期刊: NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2020; 27 (4)

In this paper we consider a system of two coupled nonlinear lattice stochastic equations driven by additive white noise processes. We prove the master......

Positive vector solutions for a Schrodinger system with external source terms

期刊: NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2020; 27 (1)

This paper is concerned with the existence of many synchronized vector solutions for the following Schrspacing diaeresis>odinger system with extern......

Shearlet-TGV based model for restoring noisy images corrupted by Cauchy noise

期刊: NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2020; 27 (2)

By combining with the shearlet transform and the second-order total generalized variation (TGV) regularization, a strictly convex shearlet-TGV based m......

Essential m-dissipativity of Kolmogorov operators for the 2D-stochastic shear thickening fluids

期刊: NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2019; 26 (1)

We study a class of viscous, incompressible non-Newtonian fluids in two space dimensions with periodic boundary conditions and an additive Gaussian no......

JIF:1.07

Intermittency and stochastic pseudo-differential equation with spatially inhomogeneous white noise

期刊: NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2019; 26 (1)

In this paper, we study the intermittent property for the following nonlinear stochastic partial differential equation (SPDE in the sequel) in (1+1)-d......

JIF:1.07

Solutions of fixed period in the nonlinear wave equation on networks

期刊: NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2019; 26 (4)

The wave equation on network is defined by ttu=Gu+g(u), where uRn and the graph Laplacian G is an operator on functions on n vertices. We suppose that......

JIF:1.07

Localized solutions of nonlinear Schrodinger systems with critical frequency for infinite attractive case

期刊: NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2019; 26 (5)

We consider the following nonlinear Schrodinger system 0.1 -epsilon 2 Delta u1+V1(x)u1=u1u22inRN,u1 is an element of H1(RN),-epsilon 2 Delta u2+V2(x)u......

JIF:1.07

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