EXISTENCE OF GLOBAL WEAK SOLUTIONS FOR A p-LAPLACIAN INEQUALITY WITH STRONG DISSIPATION IN NONCYLINDRICAL DOMAINS
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Tarih
2022
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Texas State Univ
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this work, we obtain global solutions for nonlinear inequalities of p -Laplacian type in noncylindrical domains, for the unilateral problem with strong dissipation u '' - delta(pu) - delta u ' -f >= 0 in Q(0), where delta(p) is the nonlinear p -Laplacian operator with 2 <= p < infinity, and Q(0) is the noncylindrical domain. Our proof is based on a penalty argument by J. L. Lions and Faedo-Galerkin approximations.
Açıklama
Anahtar Kelimeler
Global Solution, Weak Solutions, Laplacian Inequality, Strong Dissipation, Noncylindrical Domain
Kaynak
Electronic Journal of Differential Equations
WoS Q Değeri
Q3
Scopus Q Değeri
Q3
Cilt
2022
Sayı
9
