EXISTENCE OF WEAK SOLUTIONS FOR OBSTACLE PROBLEMS WITH VARIABLE GROWTH IN ORLICZ-SOBOLEV SPACES

Author:

Allalou Mouad,Ait Temghart SaidORCID,Raji Abderahmane

Publisher

Springer Science and Business Media LLC

Reference23 articles.

1. E. Azroul and F. Balaadich. Existence of Solutions for a Class of Kirchhof Type Equation via Young Measures. Numer. Funct. Anal. Optim, (2021). https://doi.org/10.1080/01630563.

2. H. Attouch , G. Buttazzo , Michaille G. Variational analysis in Sobolev and BV spaces: applications to PDEs and optimization. MPS/SIAM Ser. Optim. 6, Philadelphia: SIAM; (2006).

3. F. Balaadich and E.Azroul. Weak Solutions for Obstacle Problems with Weak Monotonicity. Studia Scientiarum Mathematicarum Hungarica, 58(2), 171-181, (2021).

4. JM. Ball . A version of the fundamental theorem for Young measures. In: PDEs and Continuum Models of Phase Transitions (Nice, 1988). Lecture Notes in Phys, Vol. 344, 207-215, (1989).

5. S. Challal, A. Lyaghfouri, J. F. Rodrigues and R. Teymurazyan. On the Regularity of the Free Boundary for Quasilinear Obstacle Problems. Interfaces and Free Boundaries, 16(3):359-394, (2014).

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