Semilinear Elliptic Systems with Dependence on the Gradient

Mediterranean Journal of Mathematics - Tập 15 - Trang 1-13 - 2018
Filomena Cianciaruso1, Paolamaria Pietramala1
1Dipartimento di Matematica e Informatica, Università della Calabria, Arcavacata di Rende, Italy

Tóm tắt

We provide results on the existence, non-existence, multiplicity, and localization of positive radial solutions for semilinear elliptic systems with Dirichlet or Robin boundary conditions on an annulus. Our approach is topological and relies on the classical fixed point index. We present an example to illustrate our theory.

Tài liệu tham khảo

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De Figueiredo, D.G., Ubilla, P.: Superlinear systems of second-order ODE’s. Nonlinear Anal. 68, 1765–1773 (2008)