Nonexistence results of solutions for some fractional $p$-Laplacian equations in $\mathbb{R}^{N}$

Autor: Yuxin Chen, Haidong Liu
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Electronic Journal of Qualitative Theory of Differential Equations, Vol 2024, Iss 34, Pp 1-8 (2024)
Druh dokumentu: article
ISSN: 1417-3875
DOI: 10.14232/ejqtde.2024.1.34
Popis: In the present paper, we study the nonexistence of nontrivial weak solutions to a class of fractional $p$-Laplacian equation in two cases which are $sp > N$ and $sp < N$. In each of these cases, by using fractional Laplacian theory and inequality techniques, we obtain concrete range of parameter for which nontrivial weak solution of the problem does not exist. Our work complements the known nonexistence results in this direction.
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