Non-linear eigenvalue problems for \(p\)-Laplacian with variable domain

DOI10.1007/S11590-009-0143-8zbMath1210.47084OpenAlexW2091715650MaRDI QIDQ845554

Yusif S. Gasimov, Agaddin A. Niftiyev, Abdeljalil Nachaoui

Publication date: 29 January 2010

Published in: Optimization Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11590-009-0143-8

zbMATH Keywords

eigenvalue problemshape optimization\(p\)-Laplaciansupport functiondomain variation

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Nonlinear spectral theory, nonlinear eigenvalue problems (47J10)

Related Items (9)

Hadamard variational formulas for \(p\)-torsion and \(p\)-eigenvalue with applications ⋮ Integral inequalities within the framework of generalized fractional integrals ⋮ Shape optimization for the eigenfrequency of the plate ⋮ Some refinements of Hermite-Hadamard inequality using k-fractional Caputo derivatives ⋮ Inverse problem with respect to domain and artificial neural network algorithm for the solution ⋮ Analysis of two-dimensional heat transfer problem using the boundary integral equation ⋮ New extensions of Hermite-Hadamard inequality using \(k\) fractional Caputo derivatives ⋮ Some integral inequalities via fractional derivatives ⋮ The problem of optimizing the torsional rigidity of a prismatic body about a cross Section

Cites Work

• On The Attainable Eigenvalues of the Laplace Operator
• Some shape optimization problems for eigenvalues
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