We consider a Robin problem driven by a nonlinear, nonhomogeneous differential operator with a drift term (convection) and a Carathéodory perturbation. Assuming that the drift coefficient is positive and using a topological approach based on the Leray-Schauder alternative principle, we show that the problem has a positive smooth solution.
Candito, P., Gasinski, L., Papageorgiou, N.S. (2019). Nonlinear nonhomogeneous Robin problems with convection. ANNALES ACADEMIAE SCIENTIARUM FENNICAE. MATHEMATICA, 44(2), 755-767 [10.5186/aasfm.2019.4438].
Nonlinear nonhomogeneous Robin problems with convection
Candito, Pasquale
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2019-08-01
Abstract
We consider a Robin problem driven by a nonlinear, nonhomogeneous differential operator with a drift term (convection) and a Carathéodory perturbation. Assuming that the drift coefficient is positive and using a topological approach based on the Leray-Schauder alternative principle, we show that the problem has a positive smooth solution.
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