Results 81 to 90 of about 22,884,854 (275)

Superlinear Elliptic Equations and Systems [PDF]

, 2008
In this article we survey some recent results on superlinear elliptic equations and systems. A particular focus will be the borderline situations of so-called critical growth. In the existence theorems, we will use mostly variational methods, that is we look for critical points of functionals associated to the equations and systems.
openaire   +2 more sources

Nonvariational elliptic systems

Discrete & Continuous Dynamical Systems - A, 2002
The authors deal with a comprehensive treatment of large classes of sublinear and superlinear elliptic systems, that is \[ \begin{cases} -\Delta u=f(u,v),\;-\Delta v=g(u,v) &\text{in }\Omega,\\ u=v=0 &\text{on }\partial\Omega, \end{cases} \] where \(\Omega\subset\mathbb R^N\), \(N\geq 3\), is a smooth bounded domain.
Alves, Claudianor O., de Figueiredo, Djairo G.   +1 more
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Existence results for Hamiltonian elliptic systems with nonlinear boundary conditions

Electronic Journal of Differential Equations, 1999
We prove the existence of nontrivial solutions to the system $$ Delta u = u, quad Delta v = v, $$ on a bounded set of $R^N$, with nonlinear coupling at the boundary given by $$partial u/partialeta = H_v,quad partial v/partialeta = H_u,.$$ The proof is ...
Julian Fernandez Bonder, Juan Pablo Pinasco, Julio D. Rossi   +2 more
doaj  

On Lane–Emden Systems with Singular Nonlinearities and Applications to MEMS

Advanced Nonlinear Studies, 2018
In this paper we analyze the Lane–Emden ...
do Ó João Marcos, Clemente Rodrigo
doaj   +1 more source

A symmetry result for cooperative elliptic systems with singularities [PDF]

, 2020
Stefano Biagi, Enrico Valdinoci, Eugenio Vecchi   +2 more
openalex   +1 more source

Elliptic hypergeometric terms

, 2011
General structure of the multivariate plain and q-hypergeometric terms and univariate elliptic hypergeometric terms is described. Some explicit examples of the totally elliptic hypergeometric terms leading to multidimensional integrals on root systems ...
Spiridonov, V. P.
core  

Solutions to elliptic systems of Hamiltonian type in R^N

Electronic Journal of Differential Equations, 1999
The paper proves existence of a solution for elliptic systems of Hamiltonian type on ${mathbb R}^N$ by a variational method. We use the Benci-Rabinowitz technique, which cannot be applied here directly for lack of compactness.
K. Tintarev
doaj  

Elliptic systems at resonance for jumping non-linearities

Electronic Journal of Differential Equations, 2016
In this article, we study the existence of nontrivial solutions for the problem $$\displaylines{ -\Delta u=\alpha _1u^{+}-\beta _1u^{-}+f(x,u,v)+h_1( x) \quad \text{in }\Omega, \cr -\Delta v=\alpha _2v^{+}-\beta _2v^{-}+g(x,u,v)+h_2( x) \quad \text ...
Hakim Lakhal, Brahim Khodja
doaj  

Uniqueness of classical solution to an elliptic-parabolic system in biological network formation [PDF]

, 2018
Bin Li
openalex   +1 more source

Bifurcations from degenerate orbits of solutions of nonlinear elliptic systems [PDF]

, 2022
Anna Gołȩbiewska, Joanna Kluczenko, Piotr Stefaniak   +2 more
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