@Article{ATA-35-355, author = {Maia , Liliane A. and Moura , Elson L.}, title = {A Note on Existence of a Bound State for a Non-Autonomous Nonlinear Scalar Field Equation}, journal = {Analysis in Theory and Applications}, year = {2020}, volume = {35}, number = {4}, pages = {355--376}, abstract = {

The aim of this paper is to present a positive solution of a semilinear elliptic equation in $\mathbb{R}^{N}$ with non-autonomous non-linearities which are not necessarily pure-powers, nor homogeneous, and which are superlinear or asymptotically linear at infinity. The proof is variational combined with topological arguments.

}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.OA-0014}, url = {http://global-sci.org/intro/article_detail/ata/13617.html} }