Nonexistence of positive solutions for nonlinear parabolic Robin problems and Hardy–Leray inequalities
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Dosyalar
Tarih
2022
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Institute for Ionics
Erişim Hakkı
info:eu-repo/semantics/embargoedAccess
Özet
The purpose of this paper is twofold. First is the study of the nonexistence of positive solutions of the parabolic problem {?u?t=?pu+V(x)up-1+?uqin?×(0,T),u(x,0)=u0(x)?0in?,|?u|p-2?u??=?|u|p-2uon??×(0,T),where ? is a bounded domain in RN with smooth boundary ??, ?pu= div (| ? u| p-2? u) is the p-Laplacian of u, V?Lloc1(?), ??Lloc1(??), ?? R, the exponents p and q satisfy 1 < p< 2 , and q> 0. Then, we present some sharp Hardy and Leray type inequalities with remainder terms that provide us concrete potentials to use in the partial differential equation we are interested in.
Açıklama
Anahtar Kelimeler
Critical exponents; Hardy–Leray type inequalities; Nonexistence; Positive solutions; Robin boundary conditions
Kaynak
Annali di Matematica Pura ed Applicata
WoS Q Değeri
Q2
Scopus Q Değeri
N/A
Cilt
201
Sayı
6
