Existence of Solutions to a Nonlinear Parabolic Equation of Fourth-Order in Variable Exponent Spaces
This paper is devoted to studying the existence and uniqueness of weak solutions for an initial boundary problem of a nonlinear fourth-order parabolic equation with variable exponent v t + div ( | ∇ ▵ v | p ( x ) − 2 ∇ ▵ v ) − | ▵ v | q ( x ) − 2 ▵ v = g ( x , v ) . By applyin...
Main Authors: | Bo Liang, Xiting Peng, Chengyuan Qu |
---|---|
Format: | Article |
Language: | English |
Published: |
MDPI AG
2016-11-01
|
Series: | Entropy |
Subjects: | |
Online Access: | http://www.mdpi.com/1099-4300/18/11/413 |
Similar Items
-
Existence of solutions for perturbed fourth order elliptic equations with variable exponents
by: Nguyen Thanh Chung
Published: (2018-12-01) -
On the existence of solutions for a class of fourth order elliptic equations of Kirchhoff type with variable exponent
by: Nguyen Thanh Chung
Published: (2019-03-01) -
On the spectrum of a fourth order nonlinear eigenvalue problem with variable exponent and indefinite potential
by: Qing-Mei Zhou, et al.
Published: (2016-08-01) -
Existence and Decay of Solutions for a Parabolic-Type Kirchhoff Equation with Variable Exponents
by: Gülistan Butakın, et al.
Published: (2023-04-01) -
Continuous spectrum of a fourth order nonhomogeneous differential operators with variable exponent
by: Bin Ge, et al.
Published: (2013-03-01)