Matches in SemOpenAlex for { <https://semopenalex.org/work/W4387138494> ?p ?o ?g. }
- W4387138494 abstract "Abstract The Steklov eigenvalue problem, first introduced over 125 years ago, has seen a surge of interest in the past few decades. This article is a tour of some of the recent developments linking the Steklov eigenvalues and eigenfunctions of compact Riemannian manifolds to the geometry of the manifolds. Topics include isoperimetric-type upper and lower bounds on Steklov eigenvalues (first in the case of surfaces and then in higher dimensions), stability and instability of eigenvalues under deformations of the Riemannian metric, optimisation of eigenvalues and connections to free boundary minimal surfaces in balls, inverse problems and isospectrality, discretisation, and the geometry of eigenfunctions. We begin with background material and motivating examples for readers that are new to the subject. Throughout the tour, we frequently compare and contrast the behavior of the Steklov spectrum with that of the Laplace spectrum. We include many open problems in this rapidly expanding area." @default.
- W4387138494 created "2023-09-29" @default.
- W4387138494 creator A5000608242 @default.
- W4387138494 creator A5024279550 @default.
- W4387138494 creator A5040215890 @default.
- W4387138494 creator A5066917206 @default.
- W4387138494 date "2023-09-28" @default.
- W4387138494 modified "2023-10-18" @default.
- W4387138494 title "Some recent developments on the Steklov eigenvalue problem" @default.
- W4387138494 cites W100944330 @default.
- W4387138494 cites W1479704546 @default.
- W4387138494 cites W1492904907 @default.
- W4387138494 cites W1505108320 @default.
- W4387138494 cites W1518824415 @default.
- W4387138494 cites W1533771221 @default.
- W4387138494 cites W1534019927 @default.
- W4387138494 cites W1568988260 @default.
- W4387138494 cites W1577297748 @default.
- W4387138494 cites W1580029725 @default.
- W4387138494 cites W1591632723 @default.
- W4387138494 cites W1823024878 @default.
- W4387138494 cites W1824036397 @default.
- W4387138494 cites W1967945762 @default.
- W4387138494 cites W1974228548 @default.
- W4387138494 cites W1974798866 @default.
- W4387138494 cites W1980928855 @default.
- W4387138494 cites W1982809828 @default.
- W4387138494 cites W1983665969 @default.
- W4387138494 cites W1986817086 @default.
- W4387138494 cites W1986883647 @default.
- W4387138494 cites W1989214109 @default.
- W4387138494 cites W1989480962 @default.
- W4387138494 cites W1992081887 @default.
- W4387138494 cites W1993075962 @default.
- W4387138494 cites W1993259326 @default.
- W4387138494 cites W1995905798 @default.
- W4387138494 cites W2009796115 @default.
- W4387138494 cites W2010849307 @default.
- W4387138494 cites W2011384185 @default.
- W4387138494 cites W2014618685 @default.
- W4387138494 cites W2014641041 @default.
- W4387138494 cites W2014746305 @default.
- W4387138494 cites W2020603948 @default.
- W4387138494 cites W2023563401 @default.
- W4387138494 cites W2023656248 @default.
- W4387138494 cites W2025400496 @default.
- W4387138494 cites W2025666073 @default.
- W4387138494 cites W2029227111 @default.
- W4387138494 cites W2029492322 @default.
- W4387138494 cites W2039126312 @default.
- W4387138494 cites W2039592987 @default.
- W4387138494 cites W2040282105 @default.
- W4387138494 cites W2041867826 @default.
- W4387138494 cites W2044295022 @default.
- W4387138494 cites W2047237149 @default.
- W4387138494 cites W2049987894 @default.
- W4387138494 cites W2050092130 @default.
- W4387138494 cites W2053519960 @default.
- W4387138494 cites W2053658551 @default.
- W4387138494 cites W2061159431 @default.
- W4387138494 cites W2062229868 @default.
- W4387138494 cites W2064679812 @default.
- W4387138494 cites W2066034719 @default.
- W4387138494 cites W2066342121 @default.
- W4387138494 cites W2067534086 @default.
- W4387138494 cites W2069356133 @default.
- W4387138494 cites W2069460639 @default.
- W4387138494 cites W2070113791 @default.
- W4387138494 cites W2070194569 @default.
- W4387138494 cites W2070757198 @default.
- W4387138494 cites W2073187763 @default.
- W4387138494 cites W2077195797 @default.
- W4387138494 cites W2079058191 @default.
- W4387138494 cites W2080991057 @default.
- W4387138494 cites W2081266914 @default.
- W4387138494 cites W2086900671 @default.
- W4387138494 cites W2087088314 @default.
- W4387138494 cites W2089132465 @default.
- W4387138494 cites W2094222716 @default.
- W4387138494 cites W2096305350 @default.
- W4387138494 cites W2096898175 @default.
- W4387138494 cites W2100560612 @default.
- W4387138494 cites W2105739873 @default.
- W4387138494 cites W2126411107 @default.
- W4387138494 cites W212760886 @default.
- W4387138494 cites W2130439475 @default.
- W4387138494 cites W2131805768 @default.
- W4387138494 cites W2139112704 @default.
- W4387138494 cites W2149356917 @default.
- W4387138494 cites W2153988305 @default.
- W4387138494 cites W2166539782 @default.
- W4387138494 cites W2168053530 @default.
- W4387138494 cites W2168233867 @default.
- W4387138494 cites W2222636700 @default.
- W4387138494 cites W2275895860 @default.
- W4387138494 cites W2280552577 @default.
- W4387138494 cites W2309623648 @default.
- W4387138494 cites W2311706347 @default.
- W4387138494 cites W2327997681 @default.
- W4387138494 cites W2401036414 @default.