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 + ......
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.......
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......
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 > ......
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 -......
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-......
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 ......
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 ......
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......
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), ......
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......
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......
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......
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 >......
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......