The elliptic Kirchhoff equation in $R^N$ perturbed by a local nonlinearity - Mathematics > Analysis of PDEsReport as inadecuate




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Abstract: In this paper we present a very simple proof of the existence of at least onenon trivial solution for a Kirchhoff type equation on $\RN$, for $N\ge 3$. Inparticular, in the first part of the paper we are interested in studying theexistence of a positive solution to the elliptic Kirchhoff equation under theeffect of a nonlinearity satisfying the general Berestycki-Lions assumptions.In the second part we look for ground states using minimizing arguments on asuitable natural constraint.



Author: Antonio Azzollini

Source: https://arxiv.org/







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