Results 211 to 220 of about 32,330 (255)

Progress in variational methods in Hamiltonian systems and elliptic equations

, 1992
Mario Girardi, M. Matzeu, Filomena Pacella, Elliptic Equations   +3 more
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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
semanticscholar   +1 more source

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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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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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
semanticscholar   +1 more source

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 ...
Billel Gheraibia
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Iterative Methods for Linear Systems

Explorations in Numerical Analysis, 2018
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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Linking Methods for Componentwise Variational Systems

Results in Mathematics, 2023
Radu Precup, Andrei Stan
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On Solutions for Strongly Coupled Critical Elliptic Systems on Compact Riemannian Manifolds

Results in Mathematics, 2023
Nadiel de Oliveira Sousa, Manassés X. de Souza   +1 more
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