Differential and Integral Equations
- Differential Integral Equations
- Volume 13, Number 4-6 (2000), 453-477.
Existence of solutions for elliptic systems with Hölder continuous nonlinearities
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.
Differential Integral Equations Volume 13, Number 4-6 (2000), 453-477.
First available in Project Euclid: 21 December 2012
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Mathematical Reviews number (MathSciNet)
Secondary: 35B50: Maximum principles 47J05: Equations involving nonlinear operators (general) [See also 47H10, 47J25] 47N60: Applications in chemistry and life sciences 92D25: Population dynamics (general)
Delgado, Manuel; Suárez, Antonio. Existence of solutions for elliptic systems with Hölder continuous nonlinearities. Differential Integral Equations 13 (2000), no. 4-6, 453--477. https://projecteuclid.org/euclid.die/1356061235.