Abstract
This article consists of study of anisotropic double phase problems with singular term and sign changing subcritical as well as critical nonlinearity. Seeking the help of well known Nehari manifold technique, we establish existence of at least two opposite sign energy solutions in the subcritical case and one negative energy solution in the critical case. The results in the critical case are new also in the classical p-Laplacian case.
Original language | English |
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Article number | 103790 |
Journal | Nonlinear Analysis: Real World Applications |
Volume | 70 |
DOIs | |
State | Published - 1 Apr 2023 |
Externally published | Yes |
Keywords
- Anisotropic (p, q)-Laplace operator
- Double phase problem
- Existence
- Sign changing nonlinearity
- Singular problem
ASJC Scopus subject areas
- Analysis
- General Engineering
- General Economics, Econometrics and Finance
- Computational Mathematics
- Applied Mathematics