Regularity of a Boundary Point for the p(x)-Laplacian
Journal Article
·
· Journal of Mathematical Sciences
We study the behavior of solutions to the Dirichlet problem for the p(x)-Laplacian with a continuous boundary function. We prove the existence of a weak solution under the assumption that p is separated from 1 and ∞. We present a necessary and sufficient Wiener type condition for regularity of a boundary point provided that the exponent p has the logarithmic modulus of continuity at this point.
- OSTI ID:
- 22774004
- Journal Information:
- Journal of Mathematical Sciences, Journal Name: Journal of Mathematical Sciences Journal Issue: 3 Vol. 232; ISSN JMTSEW; ISSN 1072-3374
- Country of Publication:
- United States
- Language:
- English
Similar Records
Solvability of the Navier-Stokes System with L{sup 2} Boundary Data
Bilevel optimization, deep learning and fractional Laplacian regularization with applications in tomography
Shape Metamorphism Using p-Laplacian Equation
Journal Article
·
Mon May 15 00:00:00 EDT 2000
· Applied Mathematics and Optimization
·
OSTI ID:21064272
Bilevel optimization, deep learning and fractional Laplacian regularization with applications in tomography
Journal Article
·
Tue Apr 28 20:00:00 EDT 2020
· Inverse Problems
·
OSTI ID:1660712
Shape Metamorphism Using p-Laplacian Equation
Conference
·
Wed May 19 00:00:00 EDT 2004
·
OSTI ID:828137