The pseudo-p-Laplace eigenvalue problem and viscosity solutions as p → ∞

By M. Belloni, B. Kawohl. 2004

101 citations recorded by the source corpus.

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

View Paper: https://www.semanticscholar.org/paper/cf0ab68e7db57aae09a0c1f347bbe6aaa937b3d3

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In Applied Mathematics

In Computational Theory and Mathematics

In Mathematical Physics

Citations in the corpus

ON THE HIGHER EIGENVALUES FOR THE ∞-EIGENVALUE PROBLEM (2004, methodology): “An anisotropic version has been studied in [7] by Belloni and Kawohl.”
A TOUR OF THE THEORY OF ABSOLUTELY MINIMIZING FUNCTIONS (2004, background): “The infinity Laplace equation and related problems for norms other than the standard Euclidean one have been considered at least in [15] and [44].”
The anisotropic total variation flow (2005, unknown): “is exactly the pseudo-p-Laplacian evolution equation when p = 1 (see [37] for the case p> 2 and [ 22 ] for a physical interpretation also in case p> 2) whose study was as far as we know open until now.”
Uniqueness of ∞-Harmonic Functions and the Eikonal Equation (2007, background): “(0.4) make precise a statement about uniqueness made in Belloni and Kawohl [ 4 ] without proof.”
On torsional rigidity and principal frequencies: an invitation to the Kohler-Jobin rearrangement technique (2014, methodology): “The Faber-Krahn inequality for the corresponding first eigenvalue λp,q(Ω) has been derived in [3], by using the convex symmetrization introduced in [2].”
Existence and nonexistence results for anisotropic quasilinear elliptic equations (2004, background): “Namely, is th somep which gives rise to a “generalized eigenvalue” problem? Obviously, if m+ = m−, the resonance proble corresponds top = m−, see [3].”
On certain anisotropic elliptic equations arising in congested optimal transport: Local gradient bounds (2014, background): “We cite the papers [3,8], where some spectral properties of this nonlinear operator are investigated.”
On the regularity theory for mixed local and nonlocal quasilinear elliptic equations (2021, background): “14), the operator ∆F ,p reduces to the pseudo p-Laplace operator, see Belloni-Kawohl [5] and therefore, equation (1.”