LP
Luigi Provenzano
math.SPmath.APmath.DGmath.FAmath.MPmath-phmath.OCmath.PR
On Valency
published · living versionsW_8sjke4vs·v1 · currentpublished
The role of the curvature of a surface in the shape of the solutions to elliptic equations
with Francesca Gladiali, Massimo Grossi
1 version
Preprints & journals
43 papers in the corpus · 2012–2026Maximisers for the second Neumann eigenvalue of annuli in two-dimensional space forms2610.10119v1 · Luigi Provenzano, Alessandro Savo2026 · 0 citationsarXiv
Remarks on Weyl-type bounds for Steklov eigenvalues2608.09632v3 · Luigi Provenzano2026 · 0 citationsarXiv
Regularity results for elliptic equations on cones2608.00199v1 · Carlo Alberto Antonini, Filomena Pacella, Camilla Chiara Polvara et al.2026 · 0 citationsarXiv
On a shape optimisation problem for Maxwell's eigenvalues on cuboids2607.26983v1 · Pier Domenico Lamberti, Luigi Provenzano, Rebecca Sempio2026 · 0 citationsarXiv
Lane-Emden Problems on Convex Domains of 2605.29993v1 · Massimo Grossi, Luigi Provenzano, Daniel Raom2026 · 0 citationsarXiv
Isoperimetric inequalities and sharp upper bounds for Aharonov-Bohm eigenvalues on surfaces2604.11718v2 · Marco Michetti, Luigi Provenzano, Alessandro Savo2026 · 0 citationsarXiv
On the isoperimetric inequality for the first positive Neumann eigenvalue on the sphere2603.04236v4 · Luigi Provenzano, Alessandro Savo2026 · 0 citationsarXiv
Bifurcation from bubbles in nonconvex cones2512.05766v1 · Filomena Pacella, Camilla Chiara Polvara, Luigi Provenzano2025 · 0 citationsarXiv
The role of the curvature of a surface in the shape of the solutions to elliptic equations2510.15098v2 · Francesca Gladiali, Massimo Grossi, Luigi Provenzano2025 · 0 citationsarXivon Valency
A note on the Maxwell's eigenvalues on thin sets2510.01846v2 · Francesco Ferraresso, Luigi Provenzano2025 · 0 citationsarXiv
A note on the first Steklov eigenvalue on planar domains2507.23312v1 · Azahara DelaTorre, Gabriele Mancini, Angela Pistoia et al.2025 · 0 citationsarXiv
-regularity on convex domains for Robin eigenfunctions with parameter of arbitrary sign2507.16726v1 · Pier Domenico Lamberti, Luigi Provenzano2025 · 0 citationsarXiv
-regularity of Steklov eigenfunctions on convex domains via Rellich-Pohozaev identity2503.19852v2 · Pier Domenico Lamberti, Luigi Provenzano2025 · 0 citationsarXiv
Magnetic ground states and the conformal class of a surface2503.16940v1 · Bruno Colbois, Luigi Provenzano, Alessandro Savo2025 · 0 citationsarXiv
Semiclassical eigenvalue bounds for compact homogeneous irreducible Riemannian manifolds2503.02716v1 · Luigi Provenzano, Joachim Stubbe2025 · 0 citationsarXiv
Nonexistence of Courant-type nodal domain bounds for eigenfunctions of the Dirichlet-to-Neumann operator2404.07138v1 · Alberto Enciso, Angela Pistoia, Luigi Provenzano2024 · 1 citationarXiv
A reverse Faber-Krahn inequality for the magnetic Laplacian2403.11336v3 · Bruno Colbois, Corentin L'ena, Luigi Provenzano et al.2024 · 8 citationsJournal de Mathematiques Pures et Appliquees, Volume 192, 2024, 103632
On the critical points of Steklov eigenfunctions2402.01190v4 · Luca Battaglia, Angela Pistoia, Luigi Provenzano2024 · 0 citationsarXiv
Geometry of the magnetic Steklov problem on Riemannian annuli2310.08203v1 · Luigi Provenzano, Alessandro Savo2023 · 3 citationsarXiv
On the critical points of semi-stable solutions on convex domains of Riemannian surfaces2306.10641v2 · Massimo Grossi, Luigi Provenzano2023 · 5 citationsarXiv
Geometric bounds for the magnetic Neumann eigenvalues in the plane2305.02686v1 · Bruno Colbois, Corentin L'ena, Luigi Provenzano et al.2023 · 11 citationsarXiv
Semiclassical estimates for eigenvalue means of Laplacians on spheres2205.14537v3 · Davide Buoso, Paolo Luzzini, Luigi Provenzano et al.2022 · 2 citationsarXiv
The first Grushin eigenvalue on cartesian product domains2202.12101v1 · Paolo Luzzini, Luigi Provenzano, Joachim Stubbe2022 · 2 citationsarXiv
Isoperimetric inequalities for the magnetic Neumann and Steklov problems with Aharonov-Bohm magnetic potential2201.11100v2 · Bruno Colbois, Luigi Provenzano, Alessandro Savo2022 · 10 citationsarXiv
Isoparametric foliations and the Pompeiu problem2108.13706v1 · Luigi Provenzano, Alessandro Savo2021 · 0 citationsarXiv
On the eigenvalues of the biharmonic operator with Neumann boundary conditions on a thin set2108.03969v3 · Francesco Ferraresso, Luigi Provenzano2021 · 5 citationsarXiv
Upper bounds for the Steklov eigenvalues of the -Laplacian2105.13161v1 · Luigi Provenzano2021 · 2 citationsarXiv
On the spectral asymptotics for the buckling problem2104.11686v2 · Davide Buoso, Paolo Luzzini, Luigi Provenzano et al.2021 · 3 citationsarXiv
Inequalities between Dirichlet and Neumann eigenvalues of the Polyharmonic operators1910.06622v1 · Luigi Provenzano2019 · 7 citationsarXiv
On Trace Theorems for Sobolev Spaces1910.03971v2 · Pier Domenico Lamberti, Luigi Provenzano2019 · 10 citationsarXiv
Neumann eigenvalues of the biharmonic operator on domains: geometric bounds and related results1907.02252v1 · Bruno Colbois, Luigi Provenzano2019 · 9 citationsarXiv
On the explicit representation of the trace space and of the solutions to biharmonic Dirichlet problems on Lipschitz domains via multi-parameter Steklov problems1905.00712v3 · Pier Domenico Lamberti, Luigi Provenzano2019 · 1 citationarXiv
Semiclassical bounds for spectra of biharmonic operators1904.11877v3 · Davide Buoso, Luigi Provenzano, Joachim Stubbe2019 · 3 citationsarXiv
Complementary asymptotically sharp estimates for eigenvalue means of Laplacians1806.10366v2 · Evans M. Harrell II, Luigi Provenzano, Joachim Stubbe2018 · 6 citationsarXiv
Eigenvalues of elliptic operators with density1706.00243v1 · Bruno Colbois, Luigi Provenzano2017 · 11 citationsarXiv
On vibrating thin membranes with mass concentrated near the boundary: an asymptotic analysis1705.02181v1 · Matteo Dalla Riva, Luigi Provenzano2017 · 7 citationsarXiv
Weyl-type bounds for Steklov eigenvalues1611.00929v1 · Luigi Provenzano, Joachim Stubbe2016 · 34 citationsarXiv
On the stability of some isoperimetric inequalities for the fundamental tones of free plates1607.04163v1 · Davide Buoso, L. Mercredi Chasman, Luigi Provenzano2016 · 16 citationsarXiv
A note on the Neumann eigenvalues of the biharmonic operator1606.02058v1 · Luigi Provenzano2016 · 18 citationsarXiv
Neumann to Steklov eigenvalues: asymptotic and monotonicity results1602.06078v1 · Pier Domenico Lamberti, Luigi Provenzano2016 · 16 citationsarXiv
Strong existence and uniqueness of the stationary distribution for a stochastic inviscid dyadic model1410.0500v2 · Luisa Andreis, David Barbato, Francesca Collet et al.2014 · 5 citationsarXiv
Viewing the Steklov eigenvalues of the Laplace operator as critical Neumann eigenvalues1410.0517v1 · Pier Domenico Lamberti, Luigi Provenzano2014 · 37 citationsarXiv
A maximum principle in spectral optimization problems for elliptic operators subject to mass density perturbations1205.5624v3 · Pier Domenico Lamberti, Luigi Provenzano2012 · 11 citationsEurasian Mathematical Journal, Volume 4, Number 3 (2013), 70-83
Career total: 48 works. 43 are in this corpus.
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