Advances in Differential Equations

On a class of singular elliptic problems with first order terms

Didier Smets and Alberto Tesei

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Abstract

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.

Article information

Source
Adv. Differential Equations Volume 8, Number 3 (2003), 257-278.

Dates
First available in Project Euclid: 19 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.ade/1355926854

Mathematical Reviews number (MathSciNet)
MR1948046

Zentralblatt MATH identifier
1290.35129

Subjects
Primary: 35J70: Degenerate elliptic equations
Secondary: 35B05: Oscillation, zeros of solutions, mean value theorems, etc. 35B33: Critical exponents 35J60: Nonlinear elliptic equations

Citation

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.


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