Nonlinear nonhomogeneous Robin problems with dependence on the gradient
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Abstract We consider a nonlinear elliptic equation driven by a nonhomogeneous partial differential operator with Robin boundary condition and a convection term. Using a topological approach based on the Leray–Schauder alternative principle, together with truncation and comparison techniques, we show the existence of a smooth positive solution without imposing any global growth condition on the reaction term.
- Jagiellonian University Poland
- National Technical University of Athens Greece
- National Technical University Ecuador
QA299.6-433, Convection term, Leray–Schauder alternative theorem, Robin boundary condition, Positive solution, Leray-Schauder alternative theorem, positive solution, Nonhomogeneous differential operator, convection term, nonhomogeneous differential operator, Analysis, Nonlinear regularity theory
QA299.6-433, Convection term, Leray–Schauder alternative theorem, Robin boundary condition, Positive solution, Leray-Schauder alternative theorem, positive solution, Nonhomogeneous differential operator, convection term, nonhomogeneous differential operator, Analysis, Nonlinear regularity theory
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