Li, Congming; Li, YanYan Nonautonomous nonlinear scalar field equations in \(R^ 2\). (English) Zbl 0816.35019 J. Differ. Equations 103, No. 2, 421-436 (1993). The authors get one positive and infinitely many radially symmetric solutions for a class of nonautonomous nonlinear scalar field equations in \(\mathbb{R}^ 2\). They use the Mountain Pass Lemma and the known method to approximate equations with strong nonlinear terms. Then the Pohozaev identity is used to get a uniform estimate for the approximate solutions. A short discussion on previous results in this direction is also presented. Reviewer: Ma Li (Beijing) Cited in 1 ReviewCited in 4 Documents MSC: 35J20 Variational methods for second-order elliptic equations 35J60 Nonlinear elliptic equations Keywords:Mountain Pass lemma; radially symmetric solutions; nonautonomous nonlinear scalar field equations; Pohozaev identity PDFBibTeX XMLCite \textit{C. Li} and \textit{Y. Li}, J. Differ. Equations 103, No. 2, 421--436 (1993; Zbl 0816.35019) Full Text: DOI