Geodesic
On the Principal Eigencurve of the p-Laplacian: Stability Phenomena
Canadian mathematical bulletin, Tome 49 (2006) no. 3, pp. 358-370

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DOI

We show that each point of the principal eigencurve of the nonlinear problem $$-{{\Delta }_{p}}u-\text{ }\lambda m(x){{\left| u \right|}^{p-2}}u=\mu {{\left| u \right|}^{p-2}}u\,\,\text{in}\Omega ,$$ is stable (continuous) with respect to the exponent $p$ varying in $\left( 1,\infty\right)$ ; we also prove some convergence results of the principal eigenfunctions corresponding.
DOI : 10.4153/CMB-2006-036-5
Mots-clés : 35P30, 35P60, 35J70, p-Laplacian with indefinite weight, principal eigencurve, principal eigenvalue, principal eigenfunction, stability 
Khalil, Abdelouahed El; Manouni, Said El; Ouanan, Mohammed. On the Principal Eigencurve of the p-Laplacian: Stability Phenomena. Canadian mathematical bulletin, Tome 49 (2006) no. 3, pp. 358-370. doi: 10.4153/CMB-2006-036-5
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     title = {On the {Principal} {Eigencurve} of the {p-Laplacian:} {Stability} {Phenomena}},
     journal = {Canadian mathematical bulletin},
     pages = {358--370},
     year = {2006},
     volume = {49},
     number = {3},
     doi = {10.4153/CMB-2006-036-5},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2006-036-5/}
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