Multiple solutions of generalized Yamabe equations on Riemannian manifolds and applications to Emden-Fowler problems

DOI10.1016/j.nonrwa.2011.03.012zbMath1252.53043OpenAlexW2102666291MaRDI QIDQ635226

Gabriele Bonanno, Giovanni Molica Bisci, Vicenţiu D. Rădulescu

Publication date: 19 August 2011

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2011.03.012

zbMATH Keywords

nonlinear eigenvalue problemEmden-Fowler equationgeneralized Yamabe equation

Mathematics Subject Classification ID

Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Partial differential equations of mathematical physics and other areas of application (35Q99) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) PDEs on manifolds (35R01)

Related Items (13)

Multiple solutions for a class of perturbed second-order differential equations with impulses ⋮ A variational approach to a Kirchhoff-type problem involving two parameters ⋮ Nonlinear elliptic problems on Riemannian manifolds and applications to Emden-Fowler type equations ⋮ Multiple solutions for a class of multipoint boundary value systems driven by a one-dimensional \((p_1, \dots, p_n)\)-Laplacian operator ⋮ Generalized yamabe equations on riemannian manifolds and applications to Emden-Fowler problems ⋮ Bifurcation effects in sublinear elliptic problems on compact Riemannian manifolds ⋮ Unnamed Item ⋮ Infinitely many solutions for a class of p-Laplacian equation with Sturm-Liouville type nonhomogeneous boundary conditions ⋮ Variational approach to fourth-order impulsive differential equations with two control parameters ⋮ Critical point approaches to generalized Yamabe equations on Riemannian manifolds and applications to Emden-Fowler problems ⋮ A Note on Elliptic Equations Involving the Critical Sobolev Exponent ⋮ Unnamed Item ⋮ A multiplicity result for a class of elliptic problems on a compact Riemannian manifold

Cites Work

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• The Yamabe problem
• On the structure of the critical set of non-differentiable functions with a weak compactness condition
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