Double Phase Variable Exponent Problems with Nonlinear Matrices Diffusion

Year 2024, Early Access, 1 - 12

Abderrahim Charkaoui , Jinlan Pan

https://doi.org/10.15672/hujms.1428174

Cited By: 1

Abstract

This work tackles a class of double phase elliptic problems with variable exponents and matrices diffusion. Under suitable assumptions on the data, we use critical point theory to establish both the existence and uniqueness of weak solutions to the double phase problem under consideration.

Keywords

Double phase problem, Variable exponent, Weak solution, Matrices diffusions

References

• [1] H. Alaa, N. E. Alaa, A. Bouchriti and A. Charkaoui, An improved nonlinear anisotropic model with p(x)-growth conditions applied to image restoration and enhancement, Math. Meth. Appl. Sci. 47(9), 7546–7575, 2024.