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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 ...
Billel Gheraibia
semanticscholar   +1 more source

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
semanticscholar   +1 more source

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

Hamiltonian systems in two dimensions by variational methods in nonreflexive spaces

Nonlinear Differential Equations and Applications NoDEA
Maria do Desterro   +2 more
semanticscholar   +1 more source

Introduction to Variational Methods for Viscous Ergodic Mean-Field Games with Local Coupling

Contemporary Research in Elliptic PDEs and Related Topics, 2019
A. Cesaroni, Marco Cirant
semanticscholar   +1 more source

Existence and Nonexistence of Ground State Solutions to Singular Elliptic Systems

Bulletin of the Malaysian Mathematical Sciences Society, 2017
D. Kang, Jing Li, Liangshun Xu
semanticscholar   +1 more source

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