Nonlinear parabolic equations with Robin boundary conditions and Hardy-Leray type inequalities
Küçük Resim Yok
Tarih
2021
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Amer Mathematical Soc
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
We are primarily concerned with the absence of positive solutions of the following problem, {partial derivative u/partial derivative t = Delta (u(m)) + V (x) u(m) + lambda u(q) in Omega x (0, T), u(x, 0) = u(0)(x) >= 0 in Omega, {partial derivative u/partial derivative v = beta(x)u on partial derivative Omega x (0, T), where 0 < m < 1, V is an element of L-loc(1) (Omega), beta is an element of L-loc(1)(partial derivative Omega), lambda is an element of R, q > 0, Omega subset of R-N is a bounded open subset of R-N with smooth boundary partial derivative Omega, and partial derivative u/partial derivative v is the outer normal derivative of u on partial derivative Omega. Moreover, we also present some new sharp Hardy and Leray type inequalities with remainder terms that provide us concrete potentials to use in the partial differential equation of our interest.
Açıklama
Fall Western Sectional Meeting -- NOV 09-10, 2019 -- Univ Calif, Riverside, CA
Anahtar Kelimeler
Critical exponents, Hardy-Leray inequalities, Robin boundary conditions, positive solutions, nonexistence
Kaynak
Stochastic Processes And Functional Analysis: New Perspectives
WoS Q Değeri
N/A
Scopus Q Değeri
N/A
Cilt
774
