Results 71 to 80 of about 446 (156)

Vortex-type solutions to a magnetic nonlinear Choquard equation [PDF]

, 2015
Artículo de publicación ISIWe consider the stationary nonlinear magnetic Choquard equation where is a magnetic potential and is a bounded electric potential.
Salazar, Dora
core   +1 more source

Multiple normalized solutions for Choquard equation involving the biharmonic operator and competing potentials in

Bulletin of Mathematical Sciences
This paper is concerned with the existence of multiple normalized solutions for a class of Choquard equation involving the biharmonic operator and competing potentials in [Formula: see text]: Δ2u+V(𝜀x)u=λu+G(𝜀x)(Iμ∗F(u))f(u)in ℝN,∫ℝN|u|2dx=c2, where ...
Shuaishuai Liang, Jiaying Ma, Shaoyun Shi, Yueqiang Song   +3 more
doaj   +1 more source

Existence of least energy solutions for a quasilinear Choquard equation [PDF]

The present paper is devoted to the quasilinear Choquard equation driven by the p-Laplacian operator (Formula presented) where 2 ≤ p < N, Iα denotes the Riesz potential of order α ∈ (0, N), and G ∈ C1(R, R).
Ambrosio V., Autuori G., Isernia T.
core   +1 more source

Multiple solutions to a magnetic nonlinear Choquard equation

, 2012
We consider the stationary nonlinear magnetic Choquard equation, where A is a real-valued vector potential, V is a real-valued scalar potential, N ≥ 3, α ε (0,N)and 2 - (α/N) < p < (2N - α)/(N-2).
Secchi, S., CINGOLANI, Silvia, Clapp, M.
core   +2 more sources

Coron Problem for Nonlocal Equations Involving Choquard Nonlinearity

Advanced Nonlinear Studies, 2019
Abstract We consider the following Choquard equation: {
Divya Goel, Vicenţiu D. Rădulescu, K. Sreenadh   +2 more
openaire   +3 more sources

Ground state of a magnetic nonlinear Choquard equation.

, 2019
We consider the stationary magnetic nonlinear Choquard equation −(∇ + iA(x))2u + V(x)u = (1|x|α ∗ (|u|) ) f(|u|) |u| u, where A : RN → RN is a vector potential, V is a scalar potential, f : R → R and F is the primitive of f .
Mamani, Guido Gutierrez, Bueno, Hamilton Prado, Pereira, Gilberto de Assis   +2 more
core   +1 more source

Ground state solutions for asymptotically periodic fractional Choquard equations

Electronic Journal of Qualitative Theory of Differential Equations, 2019
This paper is dedicated to studying the following fractional Choquard equation \begin{equation*} (-\triangle)^s u+V(x)u=\left(\int_{\mathbb{R}^N}\frac{Q(y)F(u(y))}{|x-y|^\mu}\mathrm{d}y\right)Q(x)f(u), \qquad u\in H^s(\mathbb{R}^{N}), \end{equation*
Sitong Chen, Xianhua Tang
doaj   +1 more source

Local uniqueness of ground states for the generalized Choquard equation [PDF]

We consider the generalized Choquard equation of the type -Δ Q + Q = I(|Q|(p))|Q|(p-2)Q, for 3≤n≤5, with Q∈Hrad1(Rn), where the operator I is the classical Riesz potential defined by I(ƒ)(x)=(-Δ)−1ƒ(x) and the exponent p∈(2,1+4/(n-2)) is energy ...
George Venkov, Mirko Tarulli, Vladimir Georgiev   +2 more
core   +1 more source

Concentration phenomena for the fractional relativistic Schrödinger-Choquard equation [PDF]

We consider the fractional relativistic Schrödinger-Choquard equation (equation presented), where ε > 0 is a small parameter, s (0, 1), m > 0, N > 2s, μ (0, 2s), (-δ + m2)s is the fractional relativistic Schrödinger operator, V: RN → R is a ...
Ambrosio V.
core   +1 more source

A strongly indefinite Choquard equation with critical exponent due to the Hardy–Littlewood–Sobolev inequality

, 2018
In this paper, we are concerned with the following nonlinear Choquard equation [Formula: see text] where [Formula: see text], [Formula: see text] and [Formula: see text].
Minbo Yang, Fashun Gao
core   +1 more source