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On symmetry results for elliptic equations with convex nonlinearities

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  • We investigate partial symmetry of solutions to semi-linear and quasi-linear elliptic problems with convex nonlinearities, in domains that are either axially symmetric or radially symmetric. The semi-linear problems are studied in a framework where the associated functional is of class $C^1$ but not of class $C^2$.
    Mathematics Subject Classification: 35D99, 35J62, 58E05, 35J70.


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