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.
Nonlinear nonhomogeneous Robin problems with convection / Candito, Pasquale; Gasiński, Leszek; Papageorgiou, Nikolaos S.. - In: ANNALES ACADEMIAE SCIENTIARUM FENNICAE. MATHEMATICA. - ISSN 1239-629X. - 44:2(2019), pp. 755-767. [10.5186/aasfm.2019.4438]
Nonlinear nonhomogeneous Robin problems with convection
Pasquale Candito;
2019-01-01
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.File in questo prodotto:
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