کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
840990 908497 2011 8 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Existence of an extremal ground state energy of a nanostructured quantum dot
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
Existence of an extremal ground state energy of a nanostructured quantum dot
چکیده انگلیسی

This paper is concerned with two rearrangement optimization problems. These problems are motivated by two eigenvalue problems which depend nonlinearly on the eigenvalues. We consider a rational and a quadratic eigenvalue problem with Dirichlet’s boundary condition and investigate two related optimization problems where the goal function is the corresponding first eigenvalue. The first eigenvalue in the rational eigenvalue problem represents the ground state energy of a nanostructured quantum dot. In both the problems, the admissible set is a rearrangement class of a given function.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 74, Issue 17, December 2011, Pages 6287–6294
نویسندگان
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