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• W2970879132 endingPage "111604" @default.
• W2970879132 startingPage "111604" @default.
• W2970879132 abstract "Consider the nonlinear scalar field equation (0.1)−Δu=f(u)inRN,u∈H1(RN),where N≥3 and f satisfies the general Berestycki–Lions conditions. We are interested in the existence of positive ground states, of nonradial solutions and in the multiplicity of radial and nonradial solutions. Very recently Mederski (2017) made a major advance in that direction through the development, in an abstract setting, of a new critical point theory for constrained functionals. In this paper we propose an alternative, more elementary approach, which permits to recover Mederski’s results on (0.1). The keys to our approach are an extension to the symmetric mountain pass setting of the monotonicity trick, and a new decomposition result for bounded Palais–Smale sequences." @default.
• W2970879132 created "2019-09-05" @default.
• W2970879132 creator A5033051135 @default.
• W2970879132 creator A5078558982 @default.
• W2970879132 date "2020-01-01" @default.
• W2970879132 modified "2023-09-30" @default.
• W2970879132 title "Nonlinear scalar field equations with general nonlinearity" @default.
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• W2970879132 doi "https://doi.org/10.1016/j.na.2019.111604" @default.
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