Abstract
In this article, we study the following anisotropic p-Laplacian equation with variable exponent given by (formula Presented) under the assumption is a bounded smooth domain in RN with p;N ≥ 2,λ > 0 and 0 < q ε C(Ω). For the purely singular case that is g ≡ 0, we proved existence and uniqueness of solution. We also demonstrate the existence of multiple solution to (P) provided f≡1 and g(u) = ur for r ε (p-1, p*-1).
Original language | English |
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Pages (from-to) | 535-562 |
Number of pages | 28 |
Journal | Advances in Differential Equations |
Volume | 26 |
Issue number | 11-12 |
DOIs | |
State | Published - 1 Jan 2021 |
ASJC Scopus subject areas
- Analysis
- Applied Mathematics