Existence of sign-changing solutions for a logarithmic weighted Kirchhoff problem in the whole of $\mathbb{R}^{N}$ with exponential growth non-linearity

Autor:	Jaidane, Rached
Rok vydání:	2023
Předmět:	Mathematics - Analysis of PDEs $35$J$20$ $35$J$30$ $35$K$57$ $35$J$60$
Druh dokumentu:	Working Paper
Popis:	In this work, we establish the existence of solutions that change sign at low energy for a non-local weighted Kirchhoff problem in the set $\mathbb{R}^{N}, N>2$. The non-linearity of the equation is assumed to have exponential growth in view of the logarithmic weighted Trudinger-Moser inequalities. To obtain the existence result, we apply the constrained minimisation in the Nehari set, the quantitative deformation lemma and results from degree theory. Comment: arXiv admin note: substantial text overlap with arXiv:2304.11612
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2309.10768 Zobrazit plný text záznamu View this record from Arxiv