MAXIMUM PRINCIPLES FOR SOME HIGHER-ORDER SEMILINEAR ELLIPTIC EQUATIONS
Glasgow mathematical journal, Tome 53 (2011) no. 2, pp. 313-320
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We deduce maximum principles for fourth-, sixth- and eighth-order elliptic equations by modifying an auxiliary function introduced by Payne (J. Analyse Math. 30 (1976), 421–433). Integral bounds on various gradients of the solutions of these equations are obtained.
MARENO, A. MAXIMUM PRINCIPLES FOR SOME HIGHER-ORDER SEMILINEAR ELLIPTIC EQUATIONS. Glasgow mathematical journal, Tome 53 (2011) no. 2, pp. 313-320. doi: 10.1017/S001708951000073X
@article{10_1017_S001708951000073X,
author = {MARENO, A.},
title = {MAXIMUM {PRINCIPLES} {FOR} {SOME} {HIGHER-ORDER} {SEMILINEAR} {ELLIPTIC} {EQUATIONS}},
journal = {Glasgow mathematical journal},
pages = {313--320},
year = {2011},
volume = {53},
number = {2},
doi = {10.1017/S001708951000073X},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S001708951000073X/}
}
TY - JOUR AU - MARENO, A. TI - MAXIMUM PRINCIPLES FOR SOME HIGHER-ORDER SEMILINEAR ELLIPTIC EQUATIONS JO - Glasgow mathematical journal PY - 2011 SP - 313 EP - 320 VL - 53 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.1017/S001708951000073X/ DO - 10.1017/S001708951000073X ID - 10_1017_S001708951000073X ER -
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