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Ground state solutions for Kirchhoff-type equations with general nonlinearity in low dimension

期刊: BOUNDARY VALUE PROBLEMS, 2021; 2021 (1)

This paper is dedicated to studying the following Kirchhoff-type problem: {-m(parallel to Delta u parallel to(2)(L2(RN)))Delta u+V(x)u=f(u), x is an e......

Linear stability of blowup solution of incompressible Keller-Segel-Navier-Stokes system

期刊: BOUNDARY VALUE PROBLEMS, 2021; 2021 (1)

In this paper, we consider the linear stability of blowup solution for incompressible Keller-Segel-Navier-Stokes system in whole space R-3. More preci......

Construct new type solutions for the fractional Schrodinger equation

期刊: BOUNDARY VALUE PROBLEMS, 2021; 2021 (1)

This paper is devoted to studying the following nonlinear fractional problem: {(-Delta)(s)u + u = K(|x|)u(p), u > 0, x is an element of R-N, (0.1) ......

Upper semicontinuity of pullback attractors for a nonautonomous damped wave equation

期刊: BOUNDARY VALUE PROBLEMS, 2021; 2021 (1)

In this paper, we study the local uniformly upper semicontinuity of pullback attractors for a strongly damped wave equation. In particular, under some......

Traveling wave solutions for a class of reaction-diffusion system

期刊: BOUNDARY VALUE PROBLEMS, 2021; 2021 (1)

In this paper we investigate the existence of traveling wave for a one-dimensional reaction diffusion system. We show that this system has a unique tr......

An oscillation theorem for the nonlinear degenerate elliptic equation in the Heisenberg group

期刊: BOUNDARY VALUE PROBLEMS, 2021; 2021 (1)

The aim of this paper is to study the oscillation of solutions of the nonlinear degenerate elliptic equation in the Heisenberg group H-n. We first der......

A blow-up result for a system of coupled viscoelastic equations with arbitrary positive initial energy

期刊: BOUNDARY VALUE PROBLEMS, 2021; 2021 (1)

This article is devoted to a study of the blow-up result for a system of coupled viscoelastic wave equations. By establishing a new auxiliary function......

Existence and multiplicity of solutions for Kirchhof-type problems with Sobolev-Hardy critical exponent

期刊: BOUNDARY VALUE PROBLEMS, 2021; 2021 (1)

In this paper, we discuss a class of Kirchhof-type elliptic boundary value problem with Sobolev-Hardy critical exponent and apply the variational meth......

On instability of Rayleigh-Taylor problem for incompressible liquid crystals under L-1-norm

期刊: BOUNDARY VALUE PROBLEMS, 2021; 2021 (1)

We investigate the nonlinear Rayleigh-Taylor (RT) instability of a wnonhomogeneous incompressible nematic liquid crystal in the presence of a uniform ......

Random attractor for second-order stochastic delay lattice sine-Gordon equation

期刊: BOUNDARY VALUE PROBLEMS, 2021; 2021 (1)

In this paper, we prove the existence of random D-attractor for the second-order stochastic delay sine-Gordon equation on infinite lattice with certai......

Structural stability for the Forchheimer equations interfacing with a Darcy fluid in a bounded region in R-3

期刊: BOUNDARY VALUE PROBLEMS, 2021; 2021 (1)

The structural stability for the Forchheimer fluid interfacing with a Darcy fluid in a bounded region in R-3 was studied. We assumed that the nonlinea......

Infinitely many solutions of degenerate quasilinear Schrodinger equation with general potentials

期刊: BOUNDARY VALUE PROBLEMS, 2021; 2021 (1)

In this paper, we study the following quasilinear Schrodinger equation: -div(a(x, del u)) + V(x)vertical bar x vertical bar(-alpha p)*vertical bar u v......

New multiplicity of positive solutions for some class of nonlocal problems

期刊: BOUNDARY VALUE PROBLEMS, 2021; 2021 (1)

In this paper, we study the following nonlocal problem: {-(a - b integral Omega vertical bar del vertical bar(2) dx)Delta u = lambda vertical bar u ve......

A note on global existence of strong solution to the 3D micropolar equations with a damping term

期刊: BOUNDARY VALUE PROBLEMS, 2021; 2021 (1)

This paper studies the Cauchy problem of the 3D incompressible micropolar equations with a damping term sigma vertical bar u vertical bar(beta-1)u (si......

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