We show some applications of integral formulas, most notably the Hsiung–Minkowski formulas, the Rellich–Pohozaev identities, and variations thereof, to the study of geometric problems and PDE’s. Our presentation aims at underlining the common geometrical and analytical features of such formulas.
Pigola, S., Rigoli, M., A., S. (2003). Some Applications of Integral Formulas in Riemannian Geometry and PDE's. MILAN JOURNAL OF MATHEMATICS, 71, 219-281 [10.1007/s00032-003-0021-2].
Some Applications of Integral Formulas in Riemannian Geometry and PDE's
PIGOLA S.;
2003
Abstract
We show some applications of integral formulas, most notably the Hsiung–Minkowski formulas, the Rellich–Pohozaev identities, and variations thereof, to the study of geometric problems and PDE’s. Our presentation aims at underlining the common geometrical and analytical features of such formulas.
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