Opuscula Mathematica | |
Existence and multiplicity results for quasilinear equations in the Heisenberg group | |
article | |
Patrizia Pucci1  | |
[1] Università degli Studi di Perugia, Dipartimento di Matematica e Informatica | |
关键词: Heisenberg group; entire solutions; critical exponents.; | |
DOI : 10.7494/OpMath.2019.39.2.247 | |
学科分类:环境科学(综合) | |
来源: AGH University of Science and Technology Press | |
【 摘 要 】
In this paper we complete the study started in [Existence of entire solutions for quasilinear equations in the Heisenberg group, Minimax Theory Appl. 4 (2019)] on entire solutions for a quasilinear equation \((\mathcal{E}_{\lambda})\) in \(\mathbb{H}^{n}\), depending on a real parameter \(\lambda\), which involves a general elliptic operator \(\mathbf{A}\) in divergence form and two main nonlinearities. Here, in the so called sublinear case, we prove existence for all \(\lambda\gt 0\) and, for special elliptic operators \(\mathbf{A}\), existence of infinitely many solutions \((u_k)_k\).
【 授权许可】
CC BY-NC
【 预 览 】
Files | Size | Format | View |
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RO202302200001559ZK.pdf | 435KB | download |