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Positive splutions of semilinear elliptic systems
Communications in Partial Differential Equations, 1992We investigate the existence of positive solutions of a Dirichlet problem for the system -A. =f(u),-Av =g(u) in a bounded convex domain 0 of IRN with smooth boundary. In particular L" a priori bounds are obtained in the same spirit as in De Figueiredo - Lions - Nussbaum [7].
MITIDIERI, ENZO +2 more
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Singularly perturbed elliptic systems
Nonlinear Analysis: Theory, Methods & Applications, 2006The authors prove the existence of a family of positive solutions for two coupled nonlinear stationary Schrödinger equations, concentrating at a point in the limit. In some cases the location of the concentration point is given in terms of the potential functions of the stationary Schrödinger equations.
Alves, Claudianor O. +1 more
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2018
This chapter is devoted to the study of systems of nonlinear elliptic equations taking into account their internal structure. Separately, the study concerns systems fully depending on the gradient of the solutions, systems that are subject to the method of subsolution–supersolution which in the case of systems takes a special form, and systems with a ...
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This chapter is devoted to the study of systems of nonlinear elliptic equations taking into account their internal structure. Separately, the study concerns systems fully depending on the gradient of the solutions, systems that are subject to the method of subsolution–supersolution which in the case of systems takes a special form, and systems with a ...
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2012
We present a maximum principle of W. Jager for the H-surface system in Section 1. Then we prove the fundamental gradient estimate of E. Heinz for nonlinear elliptic systems of differential equations in Section 2. Global estimates are established in Section 3.
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We present a maximum principle of W. Jager for the H-surface system in Section 1. Then we prove the fundamental gradient estimate of E. Heinz for nonlinear elliptic systems of differential equations in Section 2. Global estimates are established in Section 3.
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Applicable Analysis, 1993
This paper considers a nonliner elliptic system which models a temperature dependent electrical resistor in the steady—state case. The system includes two coupled nonlinear differential equations describing, respectively, the conservations of energy and current flow.
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This paper considers a nonliner elliptic system which models a temperature dependent electrical resistor in the steady—state case. The system includes two coupled nonlinear differential equations describing, respectively, the conservations of energy and current flow.
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1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Numerical evaluation of iterated integrals related to elliptic Feynman integrals
Computer Physics Communications, 2021Moritz Walden, Weinzierl Stefan
exaly
The Oscillation of Elliptic Systems
Mathematische Nachrichten, 1980Etgen, Garret J., Lewis, Roger T.
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