Yazar "Kombe, Ismail" seçeneğine göre listele

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    Fast diffusion equations on riemannian manifolds
    (KHAYYAM PUBL CO INC, 2020) Bakim, Sumeyye; Goldstein, Gisele Ruiz; Goldstein, Jerome A.; Kombe, Ismail
    In the present paper, we first study the nonexistence of positive solutions of the following nonlinear parabolic problem {partial derivative u/partial derivative t = Delta g(u(m)) + V(x)u(m) + lambda u(q) in Omega x (0, T), u(x, 0) = u(0)(x) >= 0 in Omega, u(x, t) = 0 on partial derivative Omega x (0, T). Here, Omega is a bounded domain with smooth boundary in a complete non-compact Riemannian manifold M, 0 < m < 1, V is an element of L-loc(1)(Omega), q > 0 and A E R. Next, we prove some Hardy and Leray type inequalities with remainders on a Riemannian Manifold M. Furthermore, we obtain explicit (sometimes optimal) constants for these inequalities and present several nonexistence results with help of Hardy and Leray type inequalities on the hyperbolic space H-n.
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    Non-existence results for p-laplacian parabolic problems on the heisenberg group Hn
    (American Institute of Mathematical Sciences, 2023) Goldstein, Gisele Ruiz; Goldstein, Jerome A.; Kombe, Ismail
    Let Hn = Cn R be the 2n+1-dimensional Heisenberg group and be a bounded domain with smooth boundary @ in Hn. This paper deals with the nonexistence of positive solutions to the problem(Formula Presented) where Lu is the subelliptic p-Laplacian operator on the Heisenberg group Hn, p > 1, 2 R, s > 0, V 2 L1 loc(), 2 R and q > 0. We also demonstrate several applications of our main result using concrete potentials with sharp constants derived from Hardy and Leray type inequalities.