This paper deals with semilinear elliptic problems of the type −Δu + α(x)u = β(x)|u|p−1u in RN, u(x) >0 inRN, u ∈ H1(RN), where p is superlinear but subcritical and the coefficients α and β are positive functions such that α(x) → a∞ > 0 and β(x) → b∞ > 0, as |x| → ∞. Aim of this work is to describe some phenomena that can occur when the coefficients are “competing.”
On Some Scalar Field Equations with Competing Coefficients / Cerami, G.; Pomponio, A.. - In: INTERNATIONAL MATHEMATICS RESEARCH NOTICES. - ISSN 1073-7928. - STAMPA. - 8:(2018), pp. 2481-2507. [10.1093/imrn/rnw315]
On Some Scalar Field Equations with Competing Coefficients
Cerami, G.;Pomponio, A.
2018-01-01
Abstract
This paper deals with semilinear elliptic problems of the type −Δu + α(x)u = β(x)|u|p−1u in RN, u(x) >0 inRN, u ∈ H1(RN), where p is superlinear but subcritical and the coefficients α and β are positive functions such that α(x) → a∞ > 0 and β(x) → b∞ > 0, as |x| → ∞. Aim of this work is to describe some phenomena that can occur when the coefficients are “competing.”File in questo prodotto:
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