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2000 Existence of solutions for elliptic systems with Hölder continuous nonlinearities
Manuel Delgado, Antonio Suárez
Differential Integral Equations 13(4-6): 453-477 (2000).

Abstract

In this work we prove the existence of solutions for an elliptic system between lower and upper solutions when the nonlinearities are Hölder continuous functions without a Lipschitz condition. Specifically, under appropriate conditions of monotony on the nonlinear reaction terms we introduce two monotone sequences which converge to a minimal and a maximal solution respectively. Finally, we apply these results to a dynamical population problem with "slow" diffusion.

Citation

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Manuel Delgado. Antonio Suárez. "Existence of solutions for elliptic systems with Hölder continuous nonlinearities." Differential Integral Equations 13 (4-6) 453 - 477, 2000.

Information

Published: 2000
First available in Project Euclid: 21 December 2012

zbMATH: 0970.35029
MathSciNet: MR1750036

Subjects:
Primary: 35J55
Secondary: 35B50, 47J05, 47N60, 92D25

Rights: Copyright © 2000 Khayyam Publishing, Inc.

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Vol.13 • No. 4-6 • 2000
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