Liouville theorems for some nonlinear inequalities. (English) Zbl 1233.35207
Proc. Steklov Inst. Math. 260, 90-111 (2008) and Tr. Mat. Inst. Steklova 260, 97-118 (2008).
Summary: We prove various Liouville theorems for integral and differential inequalities on the whole \(\mathbb R^N\). The main tools we use throughout this paper are representation formulae for linear inequalities, the nonlinear capacity method and the weak form of Harnack’s inequality.
MSC:
| 35R45 | Partial differential inequalities and systems of partial differential inequalities |
| 35B40 | Asymptotic behavior of solutions to PDEs |
References:
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