Anal. Theory Appl., 35 (2019), pp. 355-376.
Published online: 2020-01
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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} }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.