Notes on the p-Laplace equation

By Peter Lindqvist. 2006

408 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/7166a38e5ed4c5065e0f0286ec3e942ae4e8753b

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Citations in the corpus

Fractional superharmonic functions and the Perron method for nonlinear integro-differential equations (2016, background): “Much has been written about this topic and the connection with the theory of degenerate elliptic equations; we refer the reader to the exhaustive book [15] by Heinonen, Kilpeläinen and Martio, and to the useful lecture notes [31] by Lindqvist.”
Congested traffic dynamics, weak flows and very degenerate elliptic equations (2010, unknown): “Now, we recall the inequality (see [17]), (|s|q−2s − |t |q−2t) · (s − t) 4 q2 ∣∣|s| q−2 2 s − |t | q−2 2 t∣∣2, s, t ∈ R, (4.”
Regularity for Double Phase Variational Problems (2015, result): “In fact, when considering the particular case p = q, or a(x) ≡ 0, the results here recover the known ones valid in the standard case [31], [32], [33].”
Gradient estimates via non-linear potentials (2009, result): “ bounds of Boccardo & Gallou¨et [10, 11], Lindqvist [42] and Dolzmann & Hungerbu¨hler & Mu¨ller [19] for measure data problems; for more on the p-Laplacean see also the notes of Lindqvist [43]. More signiﬁcantly, the results here allow for a characterization of Lipschitz continuity of so”
The Fisher–KPP problem with doubly nonlinear “fast” diffusion (2016, methodology): “p-Laplacian) is much used in the elliptic and parabolic literature (see [17, 21, 27, 39, 44, 53, 54] and their references) and allows to recover the Porous Medium operator choosing p = 2 or the p-Laplacian operator choosing m = 1.”