Year: 2010
Type: preprint
Abstract: This paper is devoted to a dispersion analysis of a class of perturbed p-Laplacians. Besides the p-Laplacian-like eigenvalue problems we also deal with new and non-standard eigenvalue problems, which can not be solved by the methods used in nonlinear eigenvalue problems for p-Laplacians and similar operators. Original techniques are suggested for solving these new problems (see Section 3). In addition, dispersion relations between the eigen-parameters, quantitative analysis of eigenvectors and variational principles for eigenvalues of perturbed p-Laplacians are also studied in this paper. The problems, we study in this paper arise from the real world problems.
Source: arXiv (Cornell University)
Author: Hasanov, Mahir
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W1591285706