Harnack inequality for the elliptic \(p(x)\)-Laplacian with a three-phase exponent \(p(x)\)
From MaRDI portal
Publication:2206365
DOI10.1134/S0965542520080023zbMath1451.35041OpenAlexW3092242064MaRDI QIDQ2206365
Yury A. Alkhutov, Mikhail D. Surnachev
Publication date: 22 October 2020
Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s0965542520080023
Smoothness and regularity of solutions to PDEs (35B65) Nonlinear elliptic equations (35J60) A priori estimates in context of PDEs (35B45) Quasilinear elliptic equations with (p)-Laplacian (35J92)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On variational problems and nonlinear elliptic equations with nonstandard growth conditions
- Variable Lebesgue spaces. Foundations and harmonic analysis
- Integral operators in non-standard function spaces. Volume 2: Variable exponent Hölder, Morrey-Campanato and Grand spaces
- On a Harnack inequality for the elliptic \((p,q)\)-Laplacian
- Lebesgue and Sobolev spaces with variable exponents
- On the continuity of solutions to elliptic equations with variable order of nonlinearity
- On Lavrentiev's phenomenon
- A transmission problem in the calculus of variations
- Harnack's inequality for the \(p(x)\)-Laplacian with a two-phase exponent \(p(x)\)
- Local behavior of solutions of quasi-linear equations
- On the density of smooth functions in Sobolev-Orlicz spaces
- QUESTIONS OF CONVERGENCE, DUALITY, AND AVERAGING FOR FUNCTIONALS OF THE CALCULUS OF VARIATIONS
- AVERAGING OF FUNCTIONALS OF THE CALCULUS OF VARIATIONS AND ELASTICITY THEORY
- Density of smooth functions in W k, p(x) ( Ω )
- A Harnack inequality for a transmission problem withp(x)-Laplacian
- Density of C∞(Ω) inW1,p (x )(Ω) with discontinuous exponent p (x )
- Hölder continuity of $ p(x)$-harmonic functions
This page was built for publication: Harnack inequality for the elliptic \(p(x)\)-Laplacian with a three-phase exponent \(p(x)\)