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Computational Methods in Applied Mathematics, ISSN 1609-4840, 07/2014, Volume 14, Issue 3, pp. 393 - 409
Journal Article
Proceedings of the American Mathematical Society, ISSN 0002-9939, 05/2017, Volume 145, Issue 5, pp. 2167 - 2181
...Introduction Let be an open subset of n and let - be the Dirichlet Laplace operator on L2(), defined in the quadratic form sense with form domain H01... 
Berezin–Li–Yau inequality | Semi-classical estimates | Dirichlet-Laplace operator | semi-classical estimates | MATHEMATICS | EIGENVALUES | MATHEMATICS, APPLIED | BOUNDS | Berezin-Li-Yau inequality | DIRICHLET
Journal Article
JOURNAL OF SPECTRAL THEORY, ISSN 1664-039X, 2019, Volume 9, Issue 3, pp. 857 - 895
For Omega subset of R-n, a convex and bounded domain, we study the spectrum of -Delta(Omega) the Dirichlet Laplacian on Omega. For Lambda >= 0 and gamma >= 0... 
MATHEMATICS, APPLIED | Weyl asymptotics | BEHAVIOR | Shape optimization | convexity | CUBOIDS | eigenvalue sums | LATTICE POINTS | MATHEMATICS | EIGENVALUES | Dirichlet-Laplace operator | Riesz eigenvalue means | REGULARITY
Journal Article
Journal of Spectral Theory, ISSN 1664-039X, 2011, Volume 1, Issue 1, pp. 87 - 109
We study the eigenvalues of the Dirichlet Laplace operator on an arbitrary bounded, open set in R-d, d >= 2... 
Berezin-Li-Yau inequality | Semi-classical estimates | Dirichlet-Laplace operator | semi-classical estimates | MATHEMATICS | MATHEMATICS, APPLIED
Journal Article
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, ISSN 1072-6691, 05/2019, Volume 2019, Issue 59, pp. 1 - 17
.... This problem contains fractional powers of the weak Dirichlet-Laplace operator in the Stone-von Neumann operator calculus sense... 
MATHEMATICS | MATHEMATICS, APPLIED | Stone-von Neumann operator calculus' variational methods | Phrase Fractional Dirichlet-Laplace operator | REGULARITY
Journal Article
ESAIM: Mathematical Modelling and Numerical Analysis, ISSN 0764-583X, 11/2017, Volume 51, Issue 6, pp. 2049 - 2067
In this paper we study existence, regularity, and approximation of solution to a fractional semilinear elliptic equation of order s is an element of (0, 1). We... 
Semi-linear elliptic problems | Error estimates | Discretization | Regularity of weak solutions | Fractional Dirichlet Laplace operator | MATHEMATICS, APPLIED | regularity of weak solutions | semi-linear elliptic problems | BOUNDARY-CONDITIONS | REGULARITY | error estimates | discretization | EXTENSION PROBLEM | Dirichlet problem | Tensors
Journal Article
NETWORKS AND HETEROGENEOUS MEDIA, ISSN 1556-1801, 12/2019, Volume 14, Issue 4, pp. 733 - 757
We address a spectral problem for the Dirichlet-Laplace operator in a waveguide Pi... 
homogenization | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | Dirichlet-Laplace operator | GAP | Band-gap structure | spectral perturbations | double periodicity | perforated media
Journal Article
SIAM Journal on Mathematical Analysis, ISSN 0036-1410, 1999, Volume 30, Issue 3, pp. 527 - 536
We consider the subset E of R-2 of all points whose first and second components, respectively, coincide with the first and second eigenvalues of the Laplace operator... 
Eigenvalues | Dirichlet-Laplace operator | Shape optimization | MATHEMATICS, APPLIED | eigenvalues | shape optimization
Journal Article
2017, Volume 145, Issue 5
We study the Dirichlet eigenvalues of the Laplacian on a convex domain in R-n, with n >= 2. In particular, we generalize and improve upper bounds for the Riesz... 
semi-classical estimates | Naturvetenskap | Dirichlet-Laplace operator | Matematisk analys | Mathematics | Berezin-Li-Yau inequality | Natural Sciences | Matematik | Mathematical Analysis
Publication
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 07/2018, Volume 463, Issue 2, pp. 922 - 933
We consider the spectral Dirichlet–Laplacian problem on a domain which is formed from a periodic waveguide Π perturbed by non-compact, non-periodic changes of... 
Non-periodic perturbation | Periodic | Essential spectrum | Sobolev space | Waveguide | Dirichlet–Laplace problem | MATHEMATICS | MATHEMATICS, APPLIED | Dirichlet-Laplace problem | MEDIA | GAPS
Journal Article
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