Asymptotic in Sobolev spaces for symmetric Paneitz-type equations on Riemannian manifolds
The author considers the asymptotic behaviour in Sobolev spaces of sequences of solutions for Paneitz-type equations \(\triangle^{2}_{g}u+k_{\alpha}\triangle_{g}u+h_{\alpha}u=f u^{\frac{2(n-1)}{n-k-4}-1},\) \(u>0\), \(u\) \(G\)-invariant on a compact Riemannian manifold \((M,g)\) which is invariant by a subgroup of the group of isometries of \((M,g)\).
scientific article; zbMATH DE number 5551262