Results 211 to 220 of about 84,584,312 (256)

Existence and nonexistence results for a class of Hamiltonian Choquard-type elliptic systems with lower critical growth on ℝ2

Proceedings of the Royal Society of Edinburgh. Section A Mathematics, 2021
In this paper, we investigate the existence and nonexistence of results for a class of Hamiltonian-Choquard-type elliptic systems. We show the nonexistence of classical nontrivial solutions for the problem \[ \begin{cases} -\Delta u + u= ( I_{\alpha ...
B. Maia, O. Miyagaki
semanticscholar   +1 more source

Variational approach to noncoercive systems of elliptic variational inequalities via trapping region†

Complex Variables and Elliptic Equations, 2012
S. Carl
semanticscholar   +3 more sources

Finding multiple solutions to elliptic systems with polynomial nonlinearity

Numerical Methods for Partial Differential Equations, 2020
Elliptic systems with polynomial nonlinearity usually possess multiple solutions. In order to find multiple solutions, such elliptic systems are discretized by eigenfunction expansion method (EEM). Error analysis of the discretization is presented, which
Xu-Ping Zhang, Jintao Zhang, Bo Yu
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Existence of Solutions for a Class of Semilinear Elliptic Systems via Variational Methods

2013
This is concerned with the existence of solutions to a class of semilinear elliptic systems of the form $$\displaystyle{\left \{\begin{array}{ll} - div(a(x)\nabla u) = \lambda F_{u}(x,u,v)&\mathrm{in}\,\varOmega, \\ - div(b(x)\nabla v) = \lambda F_{v}(x,u,v) &\mathrm{in}\,\varOmega, \\ u = v = 0 &\mathrm{on}\,\partial \varOmega, \end{array} \right.}
G. A. Afrouzi, M. Mirzapour
openaire   +1 more source

Ground states for a class of quasilinear elliptic systems with critical exponent

Nonlinear Analysis, 2019
We study the following coupled system of quasilinear equations: − Δ p u + μ | u | p − 2 u = | u | q − 2 u + α λ | u | α − 2 u | v | β , x ∈ R N , − Δ p v + ν | v | p − 2 v = | v | p ∗ − 2 v + β λ | u | α | v | β − 2 v , x ∈ R N , where N ≥ 3 , μ , ν , λ >
Y. Ao, W. Zou
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Solutions for quasilinear elliptic systems with vanishing potentials

Topological Methods in Nonlinear Analysis, 2019
In this paper, we study the following strongly coupled quasilinear elliptic system: $$ \begin{cases} -\Delta_{p} u+\lambda a(x)|u|^{p-2}u=\dfrac{\alpha}{\alpha+\beta}|u|^{\alpha-2}u|v|^{\beta}, & x\in {\mathbb R}^{N}, \\[10pt] -\Delta_{p} v+\lambda b(x ...
B. Gheraibia
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Iterative Methods for Linear Systems

Explorations in Numerical Analysis, 2019
For many elliptic PDE problems, finite-difference and finite-element methods are the techniques of choice. In a finite-difference approach, we search for a solution uk on a set of discrete gridpoints 1, . . . , k.
C. Rycroft
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Existence and non-existence results for cooperative elliptic systems without variational structure

Nonlinear Differential Equations and Applications NoDEA, 2023
John Villavert
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Linking Methods for Componentwise Variational Systems

Results in Mathematics, 2023
Radu Precup, Andrei Stan
semanticscholar   +1 more source

Existence and multiplicity of weak solutions for singular fourth-order elliptic systems

São Paulo Journal of Mathematical Sciences, 2022
S. Heidari, A. Razani
semanticscholar   +1 more source