Existence of multiple solutions of Kirchhoff type equation with sign-changing potential

On the existence of bounded Palais–Smale sequences and application to a Landesman–Lazer-type problem set on <i>ℝ^N</i>

Louis Jeanjean · Proceedings of the Royal Society of Edinburgh Section A Mathematics · 1999 · 852 citations

Natural Sciences, Mathematics, Dynamical Systems +6

Existence and multiplicity results for some superlinear elliptic problems on R^N

Thomas Bartsch, Zhiqiang Wang · Communications in Partial Differential Equations · 1995 · 800 citations

Natural Sciences, Higher Education, Bank Resolution +8

Positive solutions for a quasilinear elliptic equation of Kirchhoff type

Claudianor O. Alves, Francisco Júlio S. A. Corrêa · Computers & Mathematics with Applications · 2005 · 657 citations

Natural Sciences, Mathematics, Differential Equations +5

Existence and concentration behavior of positive solutions for a Kirchhoff equation in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mi mathvariant="double-struck">R</mml:mi><mml:mn>3</mml:mn></mml:msup></mml:math>

Xiaoming He, Wenming Zou · Journal of Differential Equations · 2011 · 554 citations

Natural Sciences, Mathematics, Differential Equations +6

Sign changing solutions of Kirchhoff type problems via invariant sets of descent flow

Zhitao Zhang, Kanishka Perera · Journal of Mathematical Analysis and Applications · 2006 · 404 citations

Natural Sciences, Mathematics, Differential Equations +11