ASYMPTOTIC BIFURCATION RESULTS FOR QUASILINEAR ELLIPTIC OPERATORS
Glasgow mathematical journal, Tome 47 (2005) no. 1, pp. 55-67
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We develop results for bifurcation from the principal eigenvalue for certain operators based on the $p$-Laplacian and containing a superlinear nonlinearity with a critical Sobolev exponent. The main result concerns an asymptotic estimate of the rate at which the solution branch departs from the eigenspace. The method can also be applied for nonpotential operators.
CHABROWSKI, JAN; DRÁBEK, PAVEL; TONKES, ELLIOT. ASYMPTOTIC BIFURCATION RESULTS FOR QUASILINEAR ELLIPTIC OPERATORS. Glasgow mathematical journal, Tome 47 (2005) no. 1, pp. 55-67. doi: 10.1017/S001708950400206X
@article{10_1017_S001708950400206X,
author = {CHABROWSKI, JAN and DR\'ABEK, PAVEL and TONKES, ELLIOT},
title = {ASYMPTOTIC {BIFURCATION} {RESULTS} {FOR} {QUASILINEAR} {ELLIPTIC} {OPERATORS}},
journal = {Glasgow mathematical journal},
pages = {55--67},
year = {2005},
volume = {47},
number = {1},
doi = {10.1017/S001708950400206X},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S001708950400206X/}
}
TY - JOUR AU - CHABROWSKI, JAN AU - DRÁBEK, PAVEL AU - TONKES, ELLIOT TI - ASYMPTOTIC BIFURCATION RESULTS FOR QUASILINEAR ELLIPTIC OPERATORS JO - Glasgow mathematical journal PY - 2005 SP - 55 EP - 67 VL - 47 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.1017/S001708950400206X/ DO - 10.1017/S001708950400206X ID - 10_1017_S001708950400206X ER -
%0 Journal Article %A CHABROWSKI, JAN %A DRÁBEK, PAVEL %A TONKES, ELLIOT %T ASYMPTOTIC BIFURCATION RESULTS FOR QUASILINEAR ELLIPTIC OPERATORS %J Glasgow mathematical journal %D 2005 %P 55-67 %V 47 %N 1 %U http://geodesic.mathdoc.fr/articles/10.1017/S001708950400206X/ %R 10.1017/S001708950400206X %F 10_1017_S001708950400206X
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