A prior1 bounds for a class of stationary diffusion systems
- 1 January 1989
- journal article
- research article
- Published by Taylor & Francis in Communications in Partial Differential Equations
- Vol. 14 (8-9) , 1283-1289
- https://doi.org/10.1080/03605308908820653
Abstract
We establish a priori bounds for a class of semilinear elliptic systems which have semilinear boundary conditions. These bounds are obtained as a consequence of imposing a convex Lyapunov-like structure upon our systems.Keywords
This publication has 10 references indexed in Scilit:
- Existence of solutions for a class of weakly coupled semilinear elliptic systemsJournal of Differential Equations, 1989
- A quasilinear parabolic system arising in modelling of catalytic reactorsJournal of Differential Equations, 1987
- On the existence of steady states of certain reaction-diffusion systemsArchive for Rational Mechanics and Analysis, 1986
- Parabolic evolution equations with nonlinear boundary conditionsPublished by American Mathematical Society (AMS) ,1986
- On the Existence of a Free Boundary for a Class of Reaction-Diffusion SystemsSIAM Journal on Mathematical Analysis, 1984
- Convergence to equilibrium in a reaction-diffusion systemNonlinear Analysis, 1984
- Stationary solutions of reaction-diffusion equationsMathematical Methods in the Applied Sciences, 1979
- Boundary value problems for quasilinear second order elliptic equationsNonlinear Analysis, 1978
- Elliptic Partial Differential Equations of Second OrderPublished by Springer Nature ,1977
- Nonlinear perturbations of uncoupled systems of elliptic operatorsMathematische Annalen, 1974