Results 1 to 10 of about 1,675,583 (134)
Existence solution of a Biharmonic-type Kirchhoff-Schrödinger-Maxwell system [PDF]
Mathematics Interdisciplinary Research, 2022 This article addresses the following biharmonic type of the Kirchhoff-Schrödinger-Maxwell system;∆2 w − (a1 +b1∫RN |∇w| 2 )∆w + ηψw = q(w) in RN,−∆ψ = ηw2 in RN ...
Seyed Nasser Ahmadi, Mohsen Alimohammady
doaj +1 more source
Uniqueness and Liouville type results for radial solutions of some classes of k-Hessian equations
Electronic Journal of Qualitative Theory of Differential Equations, 2022 We establish a uniqueness theorem and a Liouville type result for positive radial solutions of some classes of nonlinear autonomous equation with the $k$-Hessian operator. We also give some interesting qualitative properties of solutions.
Mohamed Ben Chrouda
doaj +1 more source
Existence and nonexistence of solutions for elliptic problems with multiple critical exponents
Open Mathematics, 2023 In this article, the existence and nonexistence of solutions for the quasilinear elliptic equations involving multiple critical terms under Dirichlet boundary conditions on bounded smooth domains Ω⊂RN(N≥3)\Omega \subset {R}^{N}(N\ge 3) are proved by ...
Li Yuanyuan
doaj +1 more source
Mathematics, 2023 We investigate a class of fractional linearly coupled Choquard systems. For the subcritical case and all critical cases, we prove the existence, nonexistence and symmetry of positive ground state solutions of systems, by using the Nehari manifold method,
Huiqin Lu, Kexin Ouyang
doaj +1 more source
A nontrivial solution for a nonautonomous Choquard equation with general nonlinearity
Electronic Journal of Qualitative Theory of Differential Equations, 2022 With the help of the monotonicity trick, a nonautonomous Choquard equations with general nonlinearity is studied and a nontrivial solution is obtained.
Ling Ding, Jiu Liu, Yan-Xiang Yuan
doaj +1 more source
Frontiers in Physics, 2023 In this paper, we consider the non-existence and existence of solutions for a generalized quasilinear Schrödinger equation with a Kirchhoff-type perturbation.
Guofa Li +3 more
doaj +1 more source
Ground states of coupled critical Choquard equations with weighted potentials [PDF]
Opuscula Mathematica, 2022 In this paper, we are concerned with the following coupled Choquard type system with weighted potentials \[\begin{cases} -\Delta u+V_{1}(x)u=\mu_{1}(I_{\alpha}\!\ast\![Q(x)|u|^{\frac{N+\alpha}{N}}])Q(x)|u|^{\frac{\alpha}{N}-1}u+\beta(I_{\alpha}\!\ast\![Q(
Gaili Zhu +3 more
doaj +1 more source
Electronic Journal of Qualitative Theory of Differential Equations, 2021 In this paper, we study the following quasilinear Schrödinger equation \begin{equation*} \begin{split} -\Delta u&+V(x)u-\kappa u\Delta(u^2)+\mu\frac{h^2(|x|)}{|x|^2}(1+\kappa u^2)u\\ &+\mu\left(\int_{|x|}^{+\infty}\frac{h(s)}{s}(2+\kappa u^2(s))u^2(s ...
Yingying Xiao, Chuanxi Zhu
doaj +1 more source
Ground states solutions for some non-autonomous Schrödinger-Bopp-Podolsky system
Electronic Journal of Qualitative Theory of Differential Equations, 2022 In this paper we study the existence of ground states solutions for non-autonomous Schrödinger–Bopp–Podolsky system \begin{equation*} \begin{cases} -\Delta u + u +\lambda K(x)\phi u = b(x)|u|^{p-2}u & \text{in} \ \mathbb{R}^{3}, \\ -\Delta ...
Chun-Rong Jia, Lin Li, Shang-Jie Chen
doaj +1 more source
Multiple solutions for Kirchhoff type problems involving super-linear and sub-linear terms
Electronic Journal of Qualitative Theory of Differential Equations, 2016 In this paper, we consider the multiplicity of solutions for a class of Kirchhoff type problems with concave and convex nonlinearities on an unbounded domain.
Xiaofei Cao, Junxiang Xu
doaj +1 more source