Numerical optimization of eigenvalues of the planar magnetic Dirichlet Laplacian with constant magnetic field
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DOI: 10.1063/5.0253311
Abstract: We present numerical minimizers for the first seven eigenvalues of the planar magnetic Dirichlet Laplacian with constant magnetic field in a wide range of field strengths. Adapting an approach by Antunes and Freitas, we use… read more here.
Keywords: field; magnetic dirichlet; laplacian constant; eigenvalues planar ... See more keywords
Nonlinear Eigenvalue Problems for the Dirichlet (p, 2)-Laplacian
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DOI: 10.3390/axioms11020058
Abstract: We consider a nonlinear eigenvalue problem driven by the Dirichlet (p,2)-Laplacian. The parametric reaction is a Carathéodory function which exhibits (p−1)-sublinear growth as x→+∞ and as x→0+. Using variational tools and truncation and comparison techniques,… read more here.
Keywords: dirichlet laplacian; problems dirichlet; eigenvalue problems; nonlinear eigenvalue ... See more keywords