Results 271 to 280 of about 24,953,243 (325)
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Asymptotics for Semilinear Elliptic Systems
Canadian Mathematical Bulletin, 1991AbstractA class of weakly coupled systems of semilinear elliptic partial differential equations is considered in an exterior domain in ℝN, N > 3. Necessary and sufficient conditions are given for the existence of a positive solution (componentwise) with the asymptotic decay u(x) = O(|x|2-N) as |x| —> ∞.
Noussair, Ezzat S., Swanson, Charles A.
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Archive for Rational Mechanics and Analysis, 2013
We study qualitative properties of positive solutions of noncooperative, possibly nonvariational, elliptic systems. We obtain new classification and Liouville type theorems in the whole Euclidean space, as well as in half-spaces, and deduce a priori ...
Alexandre Montaru +2 more
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We study qualitative properties of positive solutions of noncooperative, possibly nonvariational, elliptic systems. We obtain new classification and Liouville type theorems in the whole Euclidean space, as well as in half-spaces, and deduce a priori ...
Alexandre Montaru +2 more
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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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Global Boundedness of the Gradient for a Class of Nonlinear Elliptic Systems
, 2012Gradient boundedness up to the boundary for solutions to Dirichlet and Neumann problems for elliptic systems with Uhlenbeck type structure is established.
Andrea Cianchi, V. Maz'ya
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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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Strongly elliptic systems and boundary integral equations
Mathematical Gazette, 2000M. Mudge
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Multiple positive solutions for a class of quasilinear singular elliptic systems
Rendiconti del Circolo Matematico di Palermo Series 2, 2019C. O. Alves, Abdelkrim Moussaoui
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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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