Progress and Challenges in Nonlocal and Nonhomogeneous PDEs
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Organizer(s): |
Name:
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Affiliation:
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Country:
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Anouar Bahrouni
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University of Monastir
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Tunisia
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Ariel Salort
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CEU San Pablo, Madrid, Spain
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Spain
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Introduction:
| | The remarkable development of homogeneous partial differential equations (PDEs) is largely driven by their ability to model various phenomena and materials in applied sciences. However, for certain nonhomogeneous materials, such as electrorheological fluids, classical homogeneous PDEs are insufficient. This has led to the study of Orlicz-Sobolev and Musielak-Sobolev spaces and their associated PDEs, which have been extensively investigated. More recently, researchers have introduced fractional versions of Orlicz-Sobolev and Musielak-Sobolev spaces, along with their applications to PDEs. This study is still in progress, and many open problems remain. Given these recent advancements, this session aims to bring together leading researchers in the field to present their latest findings and explore future directions in nonlocal and nonhomogeneous PDEs.
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