On a class of quasilinear eigenvalue problems in RN |
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| Authors: | Alexandru Kristly Csaba Varga |
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| Institution: | Alexandru Kristály,Csaba Varga |
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| Abstract: | 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) |
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| Keywords: | p ‐Laplacian principle of symmetric criticality critical points sublinearity multiple solutions |
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