@Article{JPDE-37-377, author = {Tang , Biyun and Lan , Yongyi}, title = {Ground State Solutions for Kirchhoff Equations via Modified Nehari-Pankov Manifold}, journal = {Journal of Partial Differential Equations}, year = {2024}, volume = {37}, number = {4}, pages = {377--401}, abstract = {
We investigate the Kirchhoff type elliptic problem $$\Bigg(a+b\int_{\mathbb{R}^N}[|\nabla u|^2+V(x)u^2]dx\Bigg)[-\Delta u+V(x)u]=f(x,y), \ \ \ x\in \mathbb{R}^N,$$where both $V$ and $f$ are periodic in $x,$ 0 belongs to a spectral gap of $−∆+V.$ Under suitable assumptions on $V$ and $f$ with more general conditions, we prove the existence of ground state solutions and infinitely many geometrically distinct solutions.
}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v37.n4.2}, url = {http://global-sci.org/intro/article_detail/jpde/23687.html} }