Results 51 to 60 of about 9,197 (167)
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.
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Maximum principle and existence results for nonlinear cooperative systems on a bounded domain
Electronic Journal of Differential Equations, 2011 In this work we give necessary and sufficient conditions for having a maximum principle for cooperative elliptic systems involving p-Laplacian operator on a bounded domain.
Liamidi Leadi, Aboubacar Marcos
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Electronic Journal of Differential Equations, 2004 We prove a critical-point result which provides conditions for the existence of infinitely many critical points of a strongly indefinite functional with perturbed symmetries.
Monica Clapp +2 more
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On a class of semilinear elliptic systems
Journal of Mathematical Analysis and Applications, 2003 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The Elliptic Gaudin System with Spin
Theoretical and Mathematical Physics, 2002 The elliptic Gaudin model was obtained as the Hitchin system on an elliptic curve with two fixed points. In the present paper the algebraic-geometrical structure of the system with two fixed points is clarified. We identify this system with poles dynamics of the finite gap solutions of Davey-Stewartson equation. The solutions of this system in terms of
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Multiplicity of Positive Solutions for Semilinear Elliptic Systems
Abstract and Applied Analysis, 2013 We study the effect of the coefficient of the critical nonlinearity on the number of positive solutions for semilinear elliptic systems. Under suitable assumptions for , , and , we should prove that for sufficiently small , there are at least positive ...
Tsing-San Hsu
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Existence of positive solutions for some nonlinear elliptic systems on the half space
Electronic Journal of Differential Equations, 2011 We prove some existence of positive solutions to the semilinear elliptic system $$displaylines{ Delta u =lambda p(x)g(v)cr Delta v =mu q(x)f(u) }$$ in the half space ${mathbb{R}}^n_+$, $ngeq 2$, subject to some Dirichlet conditions, where $lambda$
Noureddine Zeddini
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Doubly Periodic Meromorphic Solutions of Autonomous Nonlinear Differential Equations
Моделирование и анализ информационных систем, 2014 The problem of constructing and classifying elliptic solutions of nonlinear differential equations is studied. An effective method enabling one to find an elliptic solution of an autonomous nonlinear ordinary differential equation is described.
M. V. Demina, N. A. Kudryashov
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Noncooperative elliptic systems [PDF]
Zeitschrift für angewandte Mathematik und Physik, 2010 The author proves the existence of solutions to noncooperative elliptic systems. The proof is based on abstract theories showed by the author and the monotonicity trick introduced by Struwe.
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Maximum principle and existence results for elliptic systems on R^N
Electronic Journal of Differential Equations, 2010 In this work we give necessary and sufficient conditions for having a maximum principle for cooperative elliptic systems involving p-Laplacian operator on the whole $mathbb{R}^{N}$. This principle is then used to yield solvability for the cooperative
Liamidi Leadi, Aboubacar Marcos
doaj