THE NEHARI MANIFOLD APPROACH FOR DIRICHLET PROBLEM INVOLVING THE p(x)-LAPLACIAN EQUATION
نویسندگان
چکیده
منابع مشابه
the nehari manifold for a navier boundary value problem involving the p-biharmonic
in this paper, we study the nehari manifold and its application on the following navier boundary valueproblem involving the p-biharmonic 0, on( ) 1 ( , ) , in , 2*2u uf x u u upu u p q where is a bounded domain in rn with smooth boundary . we prove that the problem has atleast two nontrivial nonnegtive solutions when the parameter belongs to a certain subset o...
متن کاملthe 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 اولexistence 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 کاملThe Nehari Manifold for Fractional Systems Involving Critical Nonlinearities
We study the combined effect of concave and convex nonlinearities on the number of positive solutions for a fractional system involving critical Sobolev exponents. With the help of the Nehari manifold, we prove that the system admits at least two positive solutions when the pair of parameters (λ, μ) belongs to a suitable subset of R.
متن کاملInfinitely Many Solutions for a Steklov Problem Involving the p(x)-Laplacian Operator
By using variational methods and critical point theory for smooth functionals defined on a reflexive Banach space, we establish the existence of infinitely many weak solutions for a Steklov problem involving the p(x)-Laplacian depending on two parameters. We also give some corollaries and applicable examples to illustrate the obtained result../files/site1/files/42/4Abstract.pdf
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 the Korean Mathematical Society
سال: 2010
ISSN: 0304-9914
DOI: 10.4134/jkms.2010.47.4.845