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Optimization problem for extremals of the trace inequality in domains with holes

del Pezzo, Leandro Martin · World Scientific · 2010

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Author / responsible party
del Pezzo, Leandro Martin
Publisher
World Scientific
Year
2010
ISSN
0219-1997
ISSN
0219-1997
Language
English

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We study the Sobolev trace constant for functions defined in a bounded domain Ω that vanish in the subset A. We find a formula for the first variation of the Sobolev trace with respect to the hole. As a consequence of this formula, we prove that when Ω is a centered ball, the symmetric hole is critical when we consider deformation that preserve volume but is not optimal for some case. Fil: del Pezzo, Leandro Martin. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina

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APA 7

del Pezzo, L. M. (2010). Optimization problem for extremals of the trace inequality in domains with holes. http://hdl.handle.net/11336/16533

MLA

del Pezzo, Leandro Martin. "Optimization problem for extremals of the trace inequality in domains with holes." 2010. http://hdl.handle.net/11336/16533.

Chicago

del Pezzo, Leandro Martin. 2010. "Optimization problem for extremals of the trace inequality in domains with holes.". http://hdl.handle.net/11336/16533.

Harvard

del Pezzo, L. M. 2010, Optimization problem for extremals of the trace inequality in domains with holes, World Scientific, available at: http://hdl.handle.net/11336/16533 [Accessed 5 Aug. 2026].

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Title
Optimization problem for extremals of the trace inequality in domains with holes
Author / contributors
del Pezzo, Leandro Martin
Publisher
World Scientific
Publication year
2010
ISSN
0219-1997
ISSN
0219-1997
Language
English

Subjects

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Sobolev Trace Embedding; Shape Derivative; Steklov Eigenvalues; https://purl.org/becyt/ford/1.1; https://purl.org/becyt/ford/1
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