Results 221 to 230 of about 3,070 (270)

Existence and non-existence results for cooperative elliptic systems without variational structure

Nonlinear Differential Equations and Applications NoDEA, 2023
We consider general cooperative elliptic systems possibly without variational structure and with differential operator resembling that from an Euler–Lagrange equation for a sharp Hardy–Sobolev inequality.
John Villavert
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Variational method for elliptic systems with discontinuous nonlinearities

Sbornik: Mathematics, 2021
Abstract A system of two elliptic equations with discontinuous nonlinearities and homogeneous Dirichlet boundary conditions is studied. Existence theorems for strong and semiregular solutions are deduced using a variational method. A strong solution is called semiregular if the set on which the values of the solution are points of ...
Pavlenko, Vyacheslav N., Potapov, Dmitriy K.   +1 more
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Multiple symmetric invariant non trivial solutions for a class of quasilinear elliptic variational systems

Applied Mathematics and Computation, 2014
Csaba Farkaš
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Infinitely many solutions for nonlocal elliptic systems in Orlicz–Sobolev spaces

Georgian Mathematical Journal, 2021
Recently, the existence of at least two weak solutions for a Kirchhoff–type problem has been studied in [M. Makvand Chaharlang and A. Razani, Two weak solutions for some Kirchhoff-type problem with Neumann boundary condition, Georgian Math. J. 28 2021, 3,
S. Heidari, A. Razani
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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. H. Miyagaki
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Variational approach to noncoercive systems of elliptic variational inequalities via trapping region†

Complex Variables and Elliptic Equations, 2012
Siegfried Carl
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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
Xuping 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
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Combined effects in coupled quasilinear elliptic systems via a “like” Gagliardo–Nirenberg inequality

Mathematical methods in the applied sciences
In this paper, we study the existence, nonexistence and multiplicity results to a class of quasilinear elliptic system involving (p,q)$$ \left(p,q\right) $$ ‐Laplacian by exploiting the competition of nonlinearities.
Ying‐Chieh Lin, Kuan‐Hsiang Wang, Tsung‐fang Wu   +2 more
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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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