Advances in Differential Equations
- Adv. Differential Equations
- Volume 8, Number 3 (2003), 257-278.
On a class of singular elliptic problems with first order terms
We give a complete classification over the range of parameters for existence or nonexistence both of global and of local solutions to a class of semilinear elliptic problems with a first order term and singular coefficients, as well as of solutions to the related Dirichlet problem in bounded domains containing the origin. We also investigate symmetry properties of ground state solutions, proving that symmetry breaking occurs in a suitable range of parameters.
Adv. Differential Equations Volume 8, Number 3 (2003), 257-278.
First available in Project Euclid: 19 December 2012
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Smets, Didier; Tesei, Alberto. On a class of singular elliptic problems with first order terms. Adv. Differential Equations 8 (2003), no. 3, 257--278. https://projecteuclid.org/euclid.ade/1355926854