EXISTENCE AND MULTIPLICITY OF SOLUTIONS FOR NONLINEAR SCHRÖDINGER-KIRCHHOFF-TYPE EQUATIONS

Title & Authors
EXISTENCE AND MULTIPLICITY OF SOLUTIONS FOR NONLINEAR SCHRÖDINGER-KIRCHHOFF-TYPE EQUATIONS
CHEN, HAIBO; LIU, HONGLIANG; XU, LIPING;

Abstract
In this paper, we consider the following $\small{Schr{\ddot{o}}dinger}$-Kirchhoff-type equations $\small{\[a+b$${\int}_{{\mathbb{R}}^N}({\mid}{\nabla}u{\mid}^2+V(x){\mid}u{\mid}^2)dx$$\}$$\small{]}$$\small{[-{\Delta}u+V(x)u}$$\small{]}$
Keywords
$\small{Schr{\ddot{o}}dinger}$-Kirchhoff-type;Morse theory;critical groups;variational methods;genus;
Language
English
Cited by
1.
Multiple Solutions for the Asymptotically Linear Kirchhoff Type Equations onRN, International Journal of Differential Equations, 2016, 2016, 1
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