Quasiminimizing properties of solutions to Riccati type equations
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 12 (2013) no. 4, pp. 823-832.

Solutions u of the Riccati equation -·A(x,u)=b(x)|u| q with A(x,h)·h|h| p and b a bounded function are studied in an open set ΩR n . It is shown that the solutions u are local quasiminimizers whenever p-1qp for p>n and n-1q<n for p=n. This extends the results in the author’s earlier paper [8] where the case p<n was studied. Continuous solutions in the range p/n+p-1qp are also local quasiminimizers. Examples show that the results are quite sharp.

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Classification : 35J60, 35J25
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     title = {Quasiminimizing properties of solutions to {Riccati} type equations},
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Martio, Olli. Quasiminimizing properties of solutions to Riccati type equations. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 12 (2013) no. 4, pp. 823-832. http://www.numdam.org/item/ASNSP_2013_5_12_4_823_0/

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