Regularity for the nonlinear Signorini problem

By Emmanouil D. Milakis, Luis Silvestre. 2008

53 citations recorded by the source corpus.

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

View Paper: https://www.semanticscholar.org/paper/316e7b1dcebb66540a74bdbbbf9bf164198e7d9b

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In Applied Mathematics

In Computational Theory and Mathematics

In Mathematical Physics

Citations in the corpus

A multiplicity result via Ljusternick-Schnirelmann category and Morse theory for a fractional Schrödinger equation in $${\mathbb R^{N}}$$RN (2015, methodology): “We limit here ourself to give a non-exhaustive list of fields and papers in which these equations are used: obstacle problem [27, 30], optimization and finance [12, 15], phase transition [1,31], material science [5], anomalous diffusion [20,25,26], conformal geometry and minimal surfaces [7–9].”
On the regularity of the non-dynamic parabolic fractional obstacle problem (2016, background): “The idea, now, is (see [1] and for the elliptic case [7], [2], [20] and recently [9]) to locate a large region of points (x′, 0, t) where |w| is small (average estimate).”
Hitchhiker's guide to the fractional Sobolev spaces (2011, background): “equations, are now experiencing impressive applications in different subjects, such as, among others, the thin obstacle problem [87, 69], optimization [37], finance [26], phase transitions [2, 14, 88, 40, 45], stratified materials [83, 23, 24], anomalous diffusion [68, 98, 65], crystal dislocation [”
Lewy-Stampacchia type estimates for variational inequalities driven by (non)local operators (2013, background): “5) These kind of obstacle problems have been extensively studied in [3], [17] and [24] (see also [11], [26] and [27] for the basic definitions and properties of the fractional Laplacian).”
Concentration phenomenon for fractional nonlinear Schr\"{o}dinger equations (2013, background): “For example, the thin obstacle problem [57, 64], optimization”
Fractional powers of second order partial differential operators: extension problem and regularity theory (2010, unknown): “Silvestre [58].”