Floer theory for the variation operator of an isolated singularity
Journal of Topology, Volume 18, Issue 4, December 2025.Abstract The variation operator in singularity theory maps relative homology cycles to compact cycles in the Milnor fiber using the monodromy. We construct its symplectic analog for an isolated singularity. We define the monodromy Lagrangian Floer cohomology, which provides categorifications of the standard theorems on the variation operator and the ...
Hanwool Bae +3 more
wiley +1 more source
Existence of solutions to Burgers equations in domains that can be transformed into rectangles
Electronic Journal of Differential Equations, 2016 This work is concerned with Burgers equation $\partial _{t}u+u\partial_x u-\partial _x^2u=f$ (with Dirichlet boundary conditions) in the non rectangular domain $\Omega =\{(t,x)\in R^2 ...
Yassine Benia, Boubaker-Khaled Sadallah
doaj
A compact embedding theorem for generalized Sobolev spaces [PDF]
, 2013 Seng-Kee Chua +2 more
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Virtual Element Method for Piezoelasticity
International Journal for Numerical Methods in Engineering, Volume 126, Issue 22, 30 November 2025.ABSTRACT This paper presents a Virtual Element Method (VEM) for the simulation of 2D and 3D piezoelectric problems. Piezoelectric materials exhibit strong multiphysics coupling behavior and have the ability to convert mechanical energy into electrical energy.
Yi Yang +4 more
wiley +1 more source
Capacitary measures in fractional order Sobolev spaces: Compactness and applications to minimization problems [PDF]
Anna Lentz
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Local one-sided maximal function on fractional Sobolev spaces [PDF]
, 2019 Abhishek Ghosh, Kalachand Shuin
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Best constants in subelliptic fractional Sobolev and Gagliardo-Nirenberg inequalities and ground states on stratified Lie groups. [PDF]
Calc Var Partial Differ EquGhosh S, Kumar V, Ruzhansky M.
europepmc +1 more source
Bounded Approximation Property for Sobolev spaces on simply-connected\n planar domains [PDF]
, 2014 Maria Roginskaya, Michał Wojciechowski
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Pólya-Szegő Inequalities on Submanifolds with Small Total Mean Curvature. [PDF]
J Geom AnalAldrigo P, Balogh ZM.
europepmc +1 more source