TY - JOUR
T1 - The spectrum of the periodic p-Laplacian
AU - Binding, Paul A.
AU - Rynne, Bryan P.
PY - 2007/4/1
Y1 - 2007/4/1
N2 - We consider one-dimensional p-Laplacian eigenvalue problems of the form- ?p u = (? - q) | u |p - 1 sgn u, on (0, b), together with periodic or separated boundary conditions, where p > 1, ?p is the p-Laplacian, q ? C1 [0, b], and b > 0, ? ? R. It will be shown that when p ? 2, the structure of the spectrum in the general periodic case (that is, with q ? 0 and periodic boundary conditions), can be completely different from those of the following known cases: (i) the general periodic case with p = 2, (ii) the periodic case with p ? 2 and q = 0, and (iii) the general separated case with any p > 1. © 2006.
AB - We consider one-dimensional p-Laplacian eigenvalue problems of the form- ?p u = (? - q) | u |p - 1 sgn u, on (0, b), together with periodic or separated boundary conditions, where p > 1, ?p is the p-Laplacian, q ? C1 [0, b], and b > 0, ? ? R. It will be shown that when p ? 2, the structure of the spectrum in the general periodic case (that is, with q ? 0 and periodic boundary conditions), can be completely different from those of the following known cases: (i) the general periodic case with p = 2, (ii) the periodic case with p ? 2 and q = 0, and (iii) the general separated case with any p > 1. © 2006.
UR - http://www.scopus.com/inward/record.url?scp=33846882619&partnerID=8YFLogxK
U2 - 10.1016/j.jde.2006.11.019
DO - 10.1016/j.jde.2006.11.019
M3 - Article
SN - 0022-0396
VL - 235
SP - 199
EP - 218
JO - Journal of Differential Equations
JF - Journal of Differential Equations
IS - 1
ER -