Isoperimetric inequalities, Wulff shape and related questions for strongly nonlinear elliptic operators

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Symmetrization in Anisotropic Elliptic Problems (2007, background): “…equations has also been attracted by the study of anisotropic problems, as witnessed by a number of papers, including Acerbi and Fusco (1994), Belloni et al. (2003), Boccardo et al. (1990), Esposito et al. (2004), Fragalà et al. (2004), Fusco and Sbordone (1993), Hong (1992), Giaquinta…”
Remarks on a Finsler-Laplacian (2008, unknown): “Remark 2.3. The case of nonconstant right-hand side −Qu = f (u) was treated in [ 6 ], in particular the eigenvalue problem f (u )= −λu .F orn = 2 and positive solutions we were able to show that all level sets ofu are homothetic to K o ,a s in”
On the regularity theory for mixed local and nonlocal quasilinear elliptic equations (2021, background): “Various examples of Finsler-Minkowski norm F can be found in, for example in Belloni-Ferone-Kawohl [4], Xia [41, p.”
Sharp bounds for the first eigenvalue and the torsional rigidity related to some anisotropic operators (2012, background): “In [5] it has been proved the following result: Theorem 2.”
Estimates for eigenvalues of quasilinear elliptic systems (2006, methodology): “Moreover, symmetrization techniques were applied to obtain bounds of eigenvalues in [3,9], see also the references therein.”
Sharp isoperimetric inequalities via the ABP method (2013, unknown): “Their proof uses the Borell–Brascamp–Lieb extension of the the Brunn–Minkowski inequality.”