Results 1 to 10 of about 22,129,127 (338)
Nonlinear elliptic systems [PDF]
Anais da Academia Brasileira de Ciências, 2000 In this paper we treat the question of the existence of solutions of boundary value problems for systems of nonlinear elliptic equations of the form - deltau = f (x, u, v,Ñu,Ñv), - deltav = g(x, u, v, Ñu, Ñv), in omega, We discuss several classes of such
DJAIRO G. DEFIGUEIREDO
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An elliptic system with degenerate coercivity [PDF]
Rendiconti di Matematica e delle Sue Applicazioni, 2015 We study the existence of solutions of a class of degererate elliptic systems.
Lucio Boccardo +2 more
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Quasilinear and singular elliptic systems [PDF]
Advances in Nonlinear Analysis, 2013 In this paper, we investigate a general quasilinear elliptic and singular system. By monotonicity methods, we give some existence and uniqueness results. Next, we give some applications to biological models.
Jesús Hernández +2 more
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Duality in elliptic Ruijsenaars system and elliptic symmetric functions [PDF]
The European Physical Journal C, 2021 AbstractWe demonstrate that the symmetric elliptic polynomials$$E_\lambda (x)$$Eλ(x)originally discovered in the study of generalized Noumi–Shiraishi functions are eigenfunctions of the elliptic Ruijsenaars–Schneider (eRS) Hamiltonians that act on the mother function variable$$y_i$$yi(substitute of the Young-diagram variable$$\lambda $$λ).
Yegor Zenkevich +3 more
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Critical chirality in elliptic systems [PDF]
Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2021 We establish the regularity in 2 dimension of L^{2} solutions to critical elliptic systems in divergence form involving chirality operators of finite W^{1,2} -energy.
Francesca Da Lio, Tristan Rivière
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An Elliptic Garnier System [PDF]
Communications in Mathematical Physics, 2017 We present a linear system of difference equations whose entries are expressed in terms of theta functions. This linear system is singular at $4m+12$ points for $m \geq 1$, which appear in pairs due to a symmetry condition. We parameterize this linear system in terms a set of kernels at the singular points.
Ormerod, Chris M., Rains, Eric M.
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On superquadratic elliptic systems [PDF]
Transactions of the American Mathematical Society, 1994 In this article we study the existence of solutions for the elliptic system \[ − Δ u = ∂ H ∂ v (
Djairo G. de Figueiredo, Patricio Felmer
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Global bifurcation of positive solutions for a class of superlinear elliptic systems
Electronic Journal of Qualitative Theory of Differential Equations, 2023 We are concerned with the global bifurcation of positive solutions for semilinear elliptic systems of the form \begin{equation*} \begin{cases} -\Delta u=\lambda f(u,v) &\text{in}~\Omega,\\ -\Delta v=\lambda g(u,v) &\text{in}~\Omega,\\
Ruyun Ma, Yan Zhu, Yali Zhang
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Gradient Estimates for Divergence Form Elliptic Systems Arising from Composite Material [PDF]
SIAM Journal on Mathematical Analysis, 2019 In this paper, we show that $W^{1,p}$ $(1\leq ...
Hongjie Dong, Longjuan Xu
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An elliptic system with logarithmic nonlinearity [PDF]
Advances in Nonlinear Analysis, 2017 Abstract In the present paper, we study the existence of solutions for some classes of singular systems involving the Δ p
Moussaoui Abdelkrim +2 more
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