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arXiv · 0811.1542

Precise asymptotic of eigenvalues of resonant quasilinear systems

J. Fernandez Bonder·J. P. Pinasco
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Abstract

In this work we study the sequence of variational eigenvalues of a system of resonant type involving $p-$ and $q-$laplacians on $Ω\subset \R^N$, with a coupling term depending on two parameters $α$ and $β$ satisfying $α/p + β/q = 1$. We show that the order of growth of the $k^{th}$ eigenvalue depends on $α+β$, $\lam_k = O(k^{\frac{α+β}{N}})$.

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J. Fernandez Bonder, J. P. Pinasco. 2009-11-26. Precise asymptotic of eigenvalues of resonant quasilinear systems. https://arxiv.org/abs/0811.1542

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