A result on the bifurcation from the principal eigenvalue of theAp‐Laplacian

Pavel Drábek, Abdelouahed El Khalil, Abdelfattah Touzani · Abstract and Applied Analysis · 1997

We study the following bifurcation problem in any bounded domain Ω in ℝN: urn:x-wiley:10853375:media:aaa468501:aaa468501-math-0001 . We prove that the principal eigenvalue λ1 of the eigenvalue problem urn:x-wiley:10853375:media:aaa468501:aaa468501-math-0002 is a bifurcation point of the problem mentioned above.

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