Nonradial Solutions to Critical Elliptic Equations of Cafferalli-kohn-nirenberg Type

نویسندگان

  • MONICA MUSSO
  • JUNCHENG WEI
چکیده

We build an unbounded sequence of nonradial solutions for ∇(|x|−2a∇u)+ |x|− 2N N−2 au N+2 N−2 = 0, u > 0 in RN \{0} , where N ≥ 5 and a < 0. This answers an question of L. Veron.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

A Note on Regularity of Solutions to Degenerate Elliptic Equations of Caffarelli-kohn-nirenberg Type

We establish Hölder continuity of weak solutions to degenerate critical elliptic equations of Caffarelli-Kohn-Nirenberg type.

متن کامل

Singular Elliptic Equations Involving a Concave Term and Critical Caffarelli-kohn-nirenberg Exponent with Sign-changing Weight Functions

In this article we establish the existence of at least two distinct solutions to singular elliptic equations involving a concave term and critical Caffarelli-Kohn-Nirenberg exponent with sign-changing weight functions.

متن کامل

Perturbation Results of Critical Elliptic Equations of Caffarelli-kohn-nirenberg Type

We find for small ε positive solutions to the equation −div (|x| −2a ∇u) − λ |x| 2(1+a) u = 1 + εk(x) u p−1 |x| bp in R N , which branch off from the manifold of minimizers in the class of radial functions of the corresponding Caffarelli-Kohn-Nirenberg type inequality. Moreover, our analysis highlights the symmetry-breaking phenomenon in these inequalities, namely the existence of non-radial mi...

متن کامل

A Remark on Perturbed Elliptic Equations of Caffarelli-Kohn-Nirenberg Type

Using a perturbation argument based on a finite dimensional reduction, we find positive solutions to the following class of perturbed degenerate elliptic equations with critical growth − div(|x|−2a(I + εB(x))∇u)− λ |x|2(1+a) u = up−1 |x|bp , x ∈ R N where −∞ < a < N−2 2 , −∞ < λ < (N−2a−2 2 ) , p = p(a, b) = 2N N−2(1+a−b) , and a ≤ b < a+ 1.

متن کامل

Eigenvalue Problems for Degenerate Nonlinear Elliptic Equations in Anisotropic Media

We study nonlinear eigenvalue problems of the type −div(a(x)∇u) = g(λ,x,u) in RN , where a(x) is a degenerate nonnegative weight. We establish the existence of solutions and we obtain information on qualitative properties as multiplicity and location of solutions. Our approach is based on the critical point theory in Sobolev weighted spaces combined with a Caffarelli-Kohn-Nirenberg-type inequal...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2011