Note on an anisotropic p-Laplacian equation inRn
نویسندگان
چکیده
منابع مشابه
Note on an anisotropic p -Laplacian equation in R
In this paper, we study a kind of anisotropic p-Laplacian equations in R n. Nontrivial solutions are obtained using mountain pass theorem given by Ambrosetti-Rabinowitz [1].
متن کاملA Note on Strong Resonance Problems for P-laplacian
In this note, we study the existence of the weak solutions for the p-Laplacian with strong resonance, which generalizes the previous results in one-dimension.
متن کاملA Note on the Illposedness for Anisotropic Nonlinear Schrödinger Equation
In this short note, we show the illposedness of anisotropic Schrödinger equation in L if the growth of nonlinearity is larger than a threshold power pc which is also the critical power for blowup, as Fibich, Ilan and Schochet have pointed out recently. The illposedness in anisotropic Sobolev space H k,d−k where 0 < s < sc, sc = d 2 − k 4 − 2 p−1 , and the illposedness in Sobolev space of negati...
متن کاملThe Kirchhoff Equation for the P – Laplacian
wt t (t, x)− K (‖wx (t, ·)‖ β Lr (R))a(wx (t, x))wxx (t, x) = 0, (2) w(0, x) = 8(x), wt (0, x) = 9(x), where K is an arbitrary function, sufficiently smooth and taking only positive values; and a = a(s) behaves like |s|p−2 near s = 0. The detailed assumptions on K , r , β, and a are given in (3), (4) and Condition 1 below. For K = K (s) = c1 + c2s (c1, c2 > 0) and p = r = β = 2, we get the famo...
متن کاملSolutions with Dead Cores for a Parabolic P-Laplacian Equation
We study the solutions with dead cores and the decay estimates for a parabolic p-Laplacian equation with absorption by suband supersolution method. Special attention is given to the case where the solution of the steady-state problem vanishes in an interior region.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Electronic Journal of Qualitative Theory of Differential Equations
سال: 2010
ISSN: 1417-3875
DOI: 10.14232/ejqtde.2010.1.73