Semilinear equations in \({\mathbb{R}}^ N\) without condition at infinity
The results of this paper are typified by the following: if \(1<p<\infty\) and f is locally integrable then there is a unique pth power locally integrable solution of \(-\Delta u+| u|^{p-1}u=f\) on \({\mathbb{R}}^ n\). What is significant is the lack of boundary conditions on u at infinity.
scientific article; zbMATH DE number 3895510
scientific article