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On a class of quasilinear eigenvalue problems in R N
Author(s) -
Kristály Alexandru,
Varga Csaba
Publication year - 2005
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.200510339
Subject(s) - eigenvalues and eigenvectors , mathematics , sublinear function , class (philosophy) , nonlinear system , laplace operator , stability (learning theory) , combinatorics , pure mathematics , mathematical analysis , mathematical physics , physics , quantum mechanics , artificial intelligence , machine learning , computer science
We study an eigenvalue problem in R N which involves the p ‐Laplacian ( p > N ≥ 2) and the nonlinear term has a global ( p – 1)‐sublinear growth. The existence of certain open intervals of eigenvalues is guaranteed for which the eigenvalue problem has two nonzero, radially symmetric solutions. Some stability properties of solutions with respect to the eigenvalues are also obtained. (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)