Abstract
In the present paper, we study an anisotropic (Formula presented)-Laplace equation with combined effects of variable singular and sublinear nonlinearities. Using the Ekeland’s variational principle and a constrained minimization, we show the existence of a positive solution for the case where the variable singularity β(x) assumes its values in the interval (1, ∞).
| Original language | English |
|---|---|
| Pages (from-to) | 554-577 |
| Number of pages | 24 |
| Journal | Communications in Analysis and Mechanics |
| Volume | 16 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - 2024 |
Keywords
- anisotropic singular(Formula presented)-Laplacian
- anisotropic variable Sobolev space
- Ekeland’s variational principle
- variable strong singularity