Results 311 to 320 of about 2,722,864 (361)
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Ground state solutions of a fractional advection–dispersion equation
Mathematical Methods in the Applied Sciences, 2022In this paper, a class of fractional Sturm–Liouville advection–dispersion equations with instantaneous and noninstantaneous impulsive boundary conditions is considered. At the beginning, the existence of at least one nontrivial ground state solution is proved by the method of Nehari manifold without the Ambrosetti–Rabinowitz condition.
Yan Qiao, Fangqi Chen, Yukun An
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Normalized Ground-State Solution for the Schrödinger–KdV System
Mediterranean Journal of Mathematics, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fei-Fei Liang +2 more
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Normalized Ground State Solutions for Critical Growth Schrödinger Equations
Qualitative Theory of Dynamical Systems, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fan, Song, Li, Gui-Dong
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Ground State Solutions for a Quasilinear Schrödinger Equation
Mediterranean Journal of Mathematics, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhang, Jian, Lin, Xiaoyan, Tang, Xianhua
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Advanced Nonlinear Studies, 2020
In this paper, we study the existence of ground state solutions for the nonlinear Schrödinger–Bopp–Podolsky system with critical Sobolev exponent { - Δ u + V ( x ) u + q 2 ϕ u = μ | u | p - 1 u + | u | 4 u in ℝ 3 , - Δ ϕ + a 2 Δ 2
Lin Li, P. Pucci, Xianhua Tang
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In this paper, we study the existence of ground state solutions for the nonlinear Schrödinger–Bopp–Podolsky system with critical Sobolev exponent { - Δ u + V ( x ) u + q 2 ϕ u = μ | u | p - 1 u + | u | 4 u in ℝ 3 , - Δ ϕ + a 2 Δ 2
Lin Li, P. Pucci, Xianhua Tang
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Ground state solutions of Hamiltonian elliptic systems in dimension two
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2020The aim of this paper is to study Hamiltonian elliptic system of the form 0.1$$\left\{ {\matrix{ {-\Delta u = g(v)} & {{\rm in}\;\Omega,} \cr {-\Delta v = f(u)} & {{\rm in}\;\Omega,} \cr {u = 0,v = 0} & {{\rm on}\;\partial \Omega,} \cr } } \right ...
Djairo G. de Figueiredo +2 more
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GROUND STATE SOLUTIONS FOR -SUPERLINEAR -LAPLACIAN EQUATIONS
Journal of the Australian Mathematical Society, 2014AbstractIn this paper, we deduce new conditions for the existence of ground state solutions for the$p$-Laplacian equation$$\begin{equation*} \left \{ \begin{array}{@{}ll} -\mathrm {div}(|\nabla u|^{p-2}\nabla u)+V(x)|u|^{p-2}u=f(x, u), \quad x\in {\mathbb {R}}^{N},\\[5pt] u\in W^{1, p}({\mathbb {R}}^{N}), \end{array} \right .
Chen, Yi, Tang, X. H.
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Ground states solutions for nonlinear Dirac equations
Ricerche di Matematica, 2022This paper concerns the ground state solutions for the partial differential equations known as the Dirac equations. Under suitable assumptions on the nonlinearity, we show the existence of nontrivial and ground state solutions.
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Nonlinear Analysis, 2020
In the present paper, we are interested in the following Choquard type equation − Δ u + ( λ V ( x ) − μ ) u = ( I α ∗ | u | 2 α ∗ ) | u | 2 α ∗ − 2 u + | u | p − 2 u in R 3 , where p ∈ ( 4 , 6 ) , λ ∈ R + , μ ∈ R is a constant such that the operator L λ ≔
Yong-Yong Li, Gui-Dong Li, Chunlei Tang
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In the present paper, we are interested in the following Choquard type equation − Δ u + ( λ V ( x ) − μ ) u = ( I α ∗ | u | 2 α ∗ ) | u | 2 α ∗ − 2 u + | u | p − 2 u in R 3 , where p ∈ ( 4 , 6 ) , λ ∈ R + , μ ∈ R is a constant such that the operator L λ ≔
Yong-Yong Li, Gui-Dong Li, Chunlei Tang
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Revista matemática iberoamericana, 2020
This paper is concerned with the following quasilinear Schrödinger equation: −Δu+ V (x)u− 1 2 Δ(u)u = g(u), x ∈ R , where N ≥ 3, V ∈ C(RN , [0,∞)) and g ∈ C(R,R) is superlinear at infinity.
Sitong Chen +3 more
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This paper is concerned with the following quasilinear Schrödinger equation: −Δu+ V (x)u− 1 2 Δ(u)u = g(u), x ∈ R , where N ≥ 3, V ∈ C(RN , [0,∞)) and g ∈ C(R,R) is superlinear at infinity.
Sitong Chen +3 more
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