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- W3013379940 abstract "In this article we obtain positive singular solutions of(1){−Δpu=|∇u|qinΩ,u=0on∂Ω, where Ω is a small C2 perturbation of the unit ball in RN. For (p−1)NN−1<q<p<N we prove that if Ω is a sufficiently small C2 perturbation of the unit ball there exists a singular positive weak solution u of (1). For other ranges of p and q we prove the existence of Hölder continuous positive solution (with optimal regularity) on a C2 perturbation of the unit ball." @default.
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- W3013379940 date "2020-08-01" @default.
- W3013379940 modified "2023-09-25" @default.
- W3013379940 title "Singular solutions of a p-Laplace equation involving the gradient" @default.
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- W3013379940 doi "https://doi.org/10.1016/j.jde.2020.03.017" @default.
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