Solutions of a (p, q)-Laplacian equation involving a super-linear and a singular terms

被引：0
作者：
Razani, A. [1 ]
Behboudi, F. [1 ]
机构：
[1] Imam Khomeini Int Univ, Fac Sci, Dept Pure Math, Qazvin 3414896818, Iran
来源：
RICERCHE DI MATEMATICA | 2023年 / 72卷 / 01期
关键词：
(p; q)-Laplacian equation; Variational methods; Eigenvalue problem; Nehari manifold; Fibering method; SEMILINEAR ELLIPTIC EQUATION; 2 WEAK SOLUTIONS;
D O I：
10.1007/s11587-022-00732-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider the (p, q)-Laplacian problem -Delta(p)u - mu Delta(q)u + theta(x)u(p-1) = beta(x)u(p-1) + lambda a(x)u(-gamma) + b(x)u(r-1), with homogeneous Dirichlet boundary condition and u > 0 in Omega, where Omega subset of R-N is an open bounded domain with smooth boundary. The existence of an interval for lambda in which the problem has at least two positive weak solutions is proved. The main tools are Nehari manifold and the fibering method.
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页码：379 / 397
页数：19
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