Bounded Solutions for Nonhomogeneous Double Phase Problems With Gradient Dependence

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dc.contributor.authorRazani, A.
dc.contributor.authorSevim, E. Sengelen
dc.date.accessioned2026-04-04T18:55:19Z
dc.date.available2026-04-04T18:55:19Z
dc.date.issued2026
dc.departmentİstanbul Bilgi Üniversitesi
dc.description.abstractThis paper investigates the existence of bounded weak solutions to a class of nonhomogeneous double phase problems involving -Laplacian and -Laplacian operators with solution-dependent weights. The problem is set on a bounded domain and features a nonlinear right-hand side that depends on both the solution and its gradient. We establish uniform bounds for the solution set through a Moser iteration technique and prove existence results using truncation methods and pseudomonotone operator theory. Our work extends previous results by considering more general weight structures and gradient-dependent nonlinearities under minimal regularity assumptions. The analysis combines Sobolev space theory, variational methods, and careful energy estimates to handle the interplay between the different growth conditions and degeneracies in the problem.
dc.identifier.doi10.1002/mma.70491
dc.identifier.doi10.1002/mma.70491
dc.identifier.issn0170-4214
dc.identifier.issn1099-1476
dc.identifier.scopus2-s2.0-105029369814
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1002/mma.70491
dc.identifier.urihttps://hdl.handle.net/11411/10354
dc.identifier.wosWOS:001678323500001
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherWiley
dc.relation.ispartofMathematical Methods in the Applied Sciences
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WoS_20260402
dc.snmzKA_Scopus_20260402
dc.subjectBounded Solutions
dc.subjectDouble Phase Operator
dc.subjectExistence
dc.subjectGradient Dependence
dc.subjectMoser Iteration
dc.subjectPseudomonotone Operators
dc.titleBounded Solutions for Nonhomogeneous Double Phase Problems With Gradient Dependence
dc.typeArticle

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