ASYMPTOTIC BIFURCATION RESULTS FOR QUASILINEAR ELLIPTIC OPERATORS
Glasgow mathematical journal, Tome 47 (2005) no. 1, pp. 55-67

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DOI

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.
DOI : 10.1017/S001708950400206X
Mots-clés : 47J15, 35J60, 35J65, 47J10
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
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     title = {ASYMPTOTIC {BIFURCATION} {RESULTS} {FOR} {QUASILINEAR} {ELLIPTIC} {OPERATORS}},
     journal = {Glasgow mathematical journal},
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     year = {2005},
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     doi = {10.1017/S001708950400206X},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S001708950400206X/}
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