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Multiplicity and Concentration of Solutions for Kirchhoff Equations with Magnetic Field

期刊: ADVANCED NONLINEAR STUDIES, 2021; 21 (3)

In this paper, we study the following nonlinear magnetic Kirchhoff equation: integral -(a epsilon(2) + b epsilon[u](A/epsilon)(2))Delta(A/epsilon)u + ......

Subharmonic Solutions of Indefinite Hamiltonian Systems via Rotation Numbers

期刊: ADVANCED NONLINEAR STUDIES, 2021; 21 (3)

We investigate the multiplicity of subharmonic solutions for indefinite planar Hamiltonian systems Jz' = del H(t, z) from a rotation number viewpoint.......

Mass Concentration and Asymptotic Uniqueness of Ground State for 3-Component BEC with External Potential in R-2

期刊: ADVANCED NONLINEAR STUDIES, 2021; 21 (3)

We investigate the ground states of 3-component Bose-Einstein condensates with harmonic-like trapping potentials in R-2, where the intra-component int......

Large Energy Bubble Solutions for Schrodinger Equation with Supercritical Growth

期刊: ADVANCED NONLINEAR STUDIES, 2021; 21 (2)

We consider the following nonlinear Schrodinger equation involving supercritical growth: {-Delta u + V(y)u = Q(y)u(2)*(-1+epsilon) in R-N, (*) u > ......

Non-Degeneracy of Peak Solutions to the Schrodinger-Newton System

期刊: ADVANCED NONLINEAR STUDIES, 2021; 21 (2)

We are concerned with the following Schrodinger-Newton problem: -epsilon(2)Delta u + V(x)u = 1/8 pi epsilon(2) (integral(R3) u(2)(xi)/vertical bar x -......

Infinitely Many Solutions for the Nonlinear Schrodinger-Poisson System with Broken Symmetry

期刊: ADVANCED NONLINEAR STUDIES, 2021; 21 (3)

In this paper, we consider the following Schrodinger-Poisson system with perturbation: {-Delta u + u + lambda phi(x)u = vertical bar u vertical bar(p-......

Periodic Solutions to Klein-Gordon Systems with Linear Couplings

期刊: ADVANCED NONLINEAR STUDIES, 2021; 21 (3)

In this paper, we study the nonlinear Klein-Gordon systems arising from relativistic physics and quantum field theories {u(tt) - u(xx) + bu + epsilon ......

Existence and Uniqueness of Multi-Bump Solutions for Nonlinear Schrodinger-Poisson Systems

期刊: ADVANCED NONLINEAR STUDIES, 2021; 21 (3)

In this paper, we study the following Schrodinger-Poisson equations: {-epsilon(2)Delta u + V(x)u + K(x)phi vertical bar u vertical bar(p-2)u, x is an ......

Hardy-Adams Inequalities on H-2 x Rn-2

期刊: ADVANCED NONLINEAR STUDIES, 2021; 21 (2)

Let H-2 be the hyperbolic space of dimension 2. Denote by M-n = H-2 x Rn-2 the product manifold of H-2 and R-n(-2) (n >= 3). In this paper we estab......

Existence of Ground States of Fractional Schrodinger Equations

期刊: ADVANCED NONLINEAR STUDIES, 2021; 21 (3)

We consider ground states of the nonlinear fractional Schrodinger equation with potentials (-Delta)(s)u + v(x)u = f(x, u) , s is an element of(0, 1), ......

Construction of Solutions for Henon-Type Equation with Critical Growth

期刊: ADVANCED NONLINEAR STUDIES, 2021; 21 (2)

We consider the following Henon-type problem with critical growth: {-Delta u = K(vertical bar y'vertical bar,y '')u(2)*(-1), u > 0 in B1, (H) u = 0......

Reversed Stein-Weiss Inequalities with Poisson-Type Kernel and Qualitative Analysis of Extremal Functions

期刊: ADVANCED NONLINEAR STUDIES, 2021; 21 (1)

Through conformal map, isoperimetric inequalities are equivalent to the Hardy-Littlewood-Sobolev (HLS) inequalities involved with the Poisson-type ker......

Deforming a Convex Hypersurface by Anisotropic Curvature Flows

期刊: ADVANCED NONLINEAR STUDIES, 2021; 21 (1)

In this paper, we consider a fully nonlinear curvature flow of a convex hypersurface in the Euclidean n-space. This flow involves k-th elementary symm......

Existence and Concentration of Solutions for Choquard Equations with Steep Potential Well and Doubly Critical Exponents

期刊: ADVANCED NONLINEAR STUDIES, 2021; 21 (1)

In this paper, we investigate the non-autonomous Choquard equation -Delta u + lambda V(x)u = (I-alpha * F(u))F'(u) in R-N, where N >= 4, lambda &gt......

Existence of Solutions for Choquard Type Elliptic Problems with Doubly Critical Nonlinearities

期刊: ADVANCED NONLINEAR STUDIES, 2021; 21 (1)

In this article, we first study the existence of nontrivial solutions to the nonlocal elliptic problems in R-N involving fractional Laplacians and the......

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