Remarks on a Finsler-Laplacian

By V. Ferone, B. Kawohl. 2008

112 citations recorded by the source corpus.

Subfields: Applied Mathematics, Computational Theory and Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/a1b8c65ce9458c88cc6b295784f9c66eba42a87a

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In Applied Mathematics

In Computational Theory and Mathematics

In Mathematical Physics

Citations in the corpus

An existence result for singular Finsler double phase problems (2020, background): “Further studies of anisotropic phenomena can be found in the papers of Bellettini-Paolini [7], Belloni-Ferone-Kawohl [8], Della Pietra-Gavitone [16], Della Pietra-di Blasio-Gavitone [14], Della Pietra-Gavitone-Piscitelli [15] and Ferone-Kawohl [23]; see also the references therein.”
Sharp bounds for the first eigenvalue and the torsional rigidity related to some anisotropic operators (2012, background): “This kind of operator has been studied in several papers (see for instance [1], [10], [15], [19], [22] for p = 2, and [5], [6], [16], [26] for 1 < p < ∞).”
Monotonicity formulae and classification results for singular, degenerate, anisotropic PDEs☆ (2014, background): “To the authors’ knowledge, this latter condition has been first introduced in [FK09] to recover the validity of the mean value property for Q-harmonic functions, that are the solutions of the equation”
Blow-up analysis of a Finsler–Liouville equation in two dimensions☆ (2012, background): “It was proved in [21] that −Q Γ = δ0, where δ0 denotes the Dirac measure at the origin.”
Overdetermined anisotropic elliptic problems (2009, result): “Note added in proof As we discovered after submitting this paper, and was also indicated to us by a referee, two alternative proofs of Proposition 2.1 can be found in the recent paper [ 14 ].”
An optimal anisotropic Poincaré inequality for convex domains (2011, methodology): “The anisotropic Laplacian has been studied by many mathematicians, in the context of both Finsler geometry (see, for example, [Amar and Bellettini 1994; Ge and Shen 2001; Ohta 2009; Ohta and Sturm 2011; Shen 2001]) and quasilinear PDE (see, for example, [Alvino et al. 1997; Belloni et al. 2003; Fero”