Global bifurcation and positive solution for a class of fully nonlinear problems

Some global results for nonlinear eigenvalue problems

Paul H. Rabinowitz · Journal of Functional Analysis · 1971 · 1.9K citations

Spectral Theory, Singularly Perturbed Problem, Nonlinear Eigenvalue Problems +2

On the Well-Posedness of the Kirchhoff String

Alberto Arosio, Stefano Panizzi · Transactions of the American Mathematical Society · 1996 · 518 citations · Full text

Numerical Analysis, Kirchhoff String, Math Xmlns +12

Global solvability for the degenerate Kirchhoff equation with real analytic data

Sonia Lupica Spagnolo · Inventiones mathematicae · 1992 · 461 citations

Numerical Analysis, Degenerate Kirchhoff Equation, Global Solvability +6

The Nehari manifold for a Kirchhoff type problem involving sign-changing weight functions

Ching‐yu Chen, Yueh‐Cheng Kuo, Tsung‐fang Wu · Journal of Differential Equations · 2010 · 375 citations

Geometric Partial Differential Equation, Sign-changing Weight Functions, Nehari Manifold +5

Sign-changing and multiple solutions of Kirchhoff type problems without the P.S. condition

Anmin Mao, Zhitao Zhang · Nonlinear Analysis · 2008 · 358 citations

Mathematical Programming, Numerical Analysis, Engineering +4