Results 1 to 10 of about 22,388,399 (351)
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.
Giacomoni, Jacques +2 more
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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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Nonhomogeneous elliptic systems and scattering [PDF]
Tohoku Mathematical Journal, 1975 Martin Schechter
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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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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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Multidimensional analogs of A. Bicardze system
Lietuvos Matematikos Rinkinys, 2001 The problem of classification of elliptic partial differential systems is studied. Two classes of multidimensional elliptic systems are defined, that are to be considered multidimensional analogs of strongly connected and weekly connected elliptic ...
Eugenijus Paliokas
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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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Saddle-shaped positive solutions for elliptic systems with bistable nonlinearity
Mathematics in Engineering, 2020 In this paper we prove the existence of infinitely many saddle-shaped positive solutions for non-cooperative nonlinear elliptic systems with bistable nonlinearities in the phase-separation regime.
Nicola Soave
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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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