The Dirichlet problem for the fractional p-Laplacian evolution equation
نویسندگان
چکیده
منابع مشابه
the algorithm for solving the inverse numerical range problem
برد عددی ماتریس مربعی a را با w(a) نشان داده و به این صورت تعریف می کنیم w(a)={x8ax:x ?s1} ، که در آن s1 گوی واحد است. در سال 2009، راسل کاردن مساله برد عددی معکوس را به این صورت مطرح کرده است : برای نقطه z?w(a)، بردار x?s1 را به گونه ای می یابیم که z=x*ax، در این پایان نامه ، الگوریتمی برای حل مساله برد عددی معکوس ارانه می دهیم.
15 صفحه اولTHE BREZIS-NIRENBERG PROBLEM FOR THE FRACTIONAL p-LAPLACIAN
We obtain nontrivial solutions to the Brezis-Nirenberg problem for the fractional p-Laplacian operator, extending some results in the literature for the fractional Laplacian. The quasilinear case presents two serious new difficulties. First an explicit formula for a minimizer in the fractional Sobolev inequality is not available when p 6= 2. We get around this difficulty by working with certain...
متن کاملexistence of three solutions for the dirichlet problem involving the p-laplacian and minimax inequality for relevant functionals
in this paper, we establish some results on the existence of at least three weak solutions for adirichlet problem involving p-laplacian using a variational approach.
متن کاملON THE NONLINEAR DIRICHLET PROBLEM WITH p(i)-LAPLACIAN
for A; = 0 ,1 , . . . and with suitable assumptions on V which are valid for the p(x)Laplacian operator. Following some ideas from [11] we construct a dual variational method which applies to more general type of nonlinearities than those that are subject to a Palais-Smale type condition. We relate critical values and critical points to the action functional for which (1.1) is the Euler-Lagrang...
متن کاملRemark on the Cauchy problem for the evolution p-Laplacian equation
In this paper, we prove that the semigroup [Formula: see text] generated by the Cauchy problem of the evolution p-Laplacian equation [Formula: see text] ([Formula: see text]) is continuous form a weighted [Formula: see text] space to the continuous space [Formula: see text]. Then we use this property to reveal the fact that the evolution p-Laplacian equation generates a chaotic dynamical system...
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: Journal of Differential Equations
سال: 2016
ISSN: 0022-0396
DOI: 10.1016/j.jde.2015.12.033