Characterizing spheres by functional relations on solutions of elliptic and parabolic equations

Abstract

We prove symmetry results for solutions of elliptic and parabolic equations assuming that, on such solutions, certain functional conditions are imposed

Keywords:

• Elliptic equations
• parabolic equations
• eigenvalues
• level surfaces

Keywords:

• 35J65
• 35K05
• 35B99

¹Work supported in part by Fondi M.P.I. 60% and 40%

¹Work supported in part by Fondi M.P.I. 60% and 40%

Notes

¹Work supported in part by Fondi M.P.I. 60% and 40%