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Lions-type theorem of the p-Laplacian and applications

期刊: ADVANCES IN NONLINEAR ANALYSIS, 2021; 10 (1)

In this article, our aim is to establish a generalized version of Lions-type theorem for the p-Laplacian. As an application of this theorem, we consid......

Blow-up solutions with minimal mass for nonlinear Schrodinger equation with variable potential

期刊: ADVANCES IN NONLINEAR ANALYSIS, 2021; 11 (1)

This paper studies the mass-critical variable coefficient nonlinear Schrodinger equation. We first get the existence of the ground state by solving a ......

Nontrivial solutions to the p-harmonic equation with nonlinearity asymptotic to vertical bar t vertical bar(p-2)t at infinity

期刊: ADVANCES IN NONLINEAR ANALYSIS, 2021; 10 (1)

We consider the following p-harmonic problem {Delta(vertical bar Delta u vertical bar(p-2) Delta u) + m vertical bar u vertical bar(p-2) u = f (x, u),......

Initial boundary value problems for the three-dimensional compressible elastic Navier-Stokes-Poisson equations

期刊: ADVANCES IN NONLINEAR ANALYSIS, 2021; 10 (1)

We study the initial-boundary value problems of the three-dimensional compressible elastic Navier-Stokes-Poisson equations under the Dirichlet or Neum......

Groundstates for Choquard type equations with weighted potentials and Hardy-Littlewood-Sobolev lower critical exponent

期刊: ADVANCES IN NONLINEAR ANALYSIS, 2021; 11 (1)

We are concerned with a class of Choquard type equations with weighted potentials and Hardy- Littlewood-Sobolev lower critical exponent -Delta u + V(x......

New asymptotically quadratic conditions for Hamiltonian elliptic systems

期刊: ADVANCES IN NONLINEAR ANALYSIS, 2021; 11 (1)

This paper is concerned with the following Hamiltonian elliptic system {-Delta u + V(x)u = Wv(x, u, v), x is an element of R-N, -Delta v + V(x) v = Wu......

Variation inequalities for rough singular integrals and their commutators on Morrey spaces and Besov spaces

期刊: ADVANCES IN NONLINEAR ANALYSIS, 2021; 11 (1)

This paper is devoted to investigating the boundedness, continuity and compactness for variation operators of singular integrals and their commutators......

Sharp conditions on global existence and blow-up in a degenerate two-species and cross-attraction system

期刊: ADVANCES IN NONLINEAR ANALYSIS, 2021; 11 (1)

We consider a degenerate chemotaxis model with two-species and two-stimuli in dimension d >= 3 and find two critical curves intersecting at one poi......

Qualitative analysis for the nonlinear fractional Hartree type system with nonlocal interaction

期刊: ADVANCES IN NONLINEAR ANALYSIS, 2021; 11 (1)

In the present paper we study the existence of nontrivial solutions of a class of static coupled nonlinear fractional Hartree type system. First, we u......

Partial regularity of stable solutions to the fractional Gel'fand-Liouville equation

期刊: ADVANCES IN NONLINEAR ANALYSIS, 2021; 10 (1)

We analyze stable weak solutions to the fractional Gel'fand problem (-Delta)(s)u = e(u) in Omega subset of R-n. We prove that the dimension of the sin......

On the existence of multiple solutions for a partial discrete Dirichlet boundary value problem with mean curvature operator

期刊: ADVANCES IN NONLINEAR ANALYSIS, 2021; 11 (1)

A partial discrete Dirichlet boundary value problem involving mean curvature operator is concerned in this paper. Under proper assumptions on the nonl......

On the set of positive solutions for resonant Robin (p, q)-equations

期刊: ADVANCES IN NONLINEAR ANALYSIS, 2021; 10 (1)

We consider a nonlinear Robin problem driven by the (p, q)-Laplacian and a parametric reaction exhibiting the competition of a concave term and of a r......

Existence and uniqueness of periodic orbits in a discrete model on Wolbachia infection frequency

期刊: ADVANCES IN NONLINEAR ANALYSIS, 2021; 11 (1)

In this paper, we study a discrete model on Wolbachia infection frequency. Assume that a periodic and impulsive release strategy is implemented, where......

Refined second boundary behavior of the unique strictly convex solution to a singular Monge-Ampere equation

期刊: ADVANCES IN NONLINEAR ANALYSIS, 2021; 11 (1)

In this paper, we establish the second boundary behavior of the unique strictly convex solution to a singular Dirichlet problem for the Monge-Ampere e......

Positive radial symmetric solutions for a class of elliptic problems with critical exponent and-1 growth

期刊: ADVANCES IN NONLINEAR ANALYSIS, 2021; 10 (1)

In this paper, we consider a class of semilinear elliptic equation with critical exponent and -1 growth. By using the critical point theory for nonsmo......

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