We give some sufficient conditions to guarantee the validity of the Compact Support Principle for solutions of some singular elliptic differential inequalities on complete, non-compact manifolds. Our results apply in particular to the p-Laplace and the Mean Curvature operators. We also show that our results are sharp in many important cases.
The compact support principle for differential inequalities with gradient terms / M. Rigoli, M.E. Salvatori, M. Vignati. - In: NONLINEAR ANALYSIS. - ISSN 0362-546X. - 72:11(2010), pp. 4360-4376. [10.1016/j.na.2010.02.017]
The compact support principle for differential inequalities with gradient terms
M. RigoliPrimo
;M.E. SalvatoriSecondo
;M. VignatiUltimo
2010
Abstract
We give some sufficient conditions to guarantee the validity of the Compact Support Principle for solutions of some singular elliptic differential inequalities on complete, non-compact manifolds. Our results apply in particular to the p-Laplace and the Mean Curvature operators. We also show that our results are sharp in many important cases.
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