A biharmonic equation with singular nonlinearity

نویسندگان

چکیده

برای دانلود باید عضویت طلایی داشته باشید

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

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Rupture Solutions of an Elliptic Equation with a Singular Nonlinearity

We construct infinitely many non-radial rupture solutions of the equation ∆u = 1 up in RN\{0}, u(0) = 0, N ≥ 3 with p > pc(N − 1) := N − 1− 2 √ N − 2 2 √ N − 2− (N − 5) .

متن کامل

Singular Radial Entire Solutions and Weak Solutions with Prescribed Singular Set for a Biharmonic Equation

Positive singular radial entire solutions of a biharmonic equation with subcritical exponent are obtained via the entire radial solutions of the equation with supercritical exponent and the Kelvin transformation. The expansions of such singular radial solutions at the singular point 0 are presented. Using these singular radial entire solutions, we construct solutions with a prescribed singular ...

متن کامل

Stochastic Cahn-Hilliard equation with singular nonlinearity and reflection

2 Solutions of equation with a reflection measure 10 2.1 Pathwise uniqueness . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 2.2 Convergence of invariants measures . . . . . . . . . . . . . . . . . . . . . . . . . . . 12 2.3 Existence of stationary solutions . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14 2.4 Convergence of the semigroup . . . . . . . . . . ....

متن کامل

A Diffusion Equation with Exponential Nonlinearity Recant Developments

The purpose of this paper is to analyze in detail a special nonlinear partial differential equation (nPDE) of the second order which is important in physical, chemical and technical applications. The present nPDE describes nonlinear diffusion and is of interest in several parts of physics, chemistry and engineering problems alike. Since nature is not linear intrinsically the nonlinear case is t...

متن کامل

Ring-type singular solutions of the biharmonic nonlinear Schrödinger equation

We present new singular solutions of the biharmonic nonlinear Schrödinger equation (NLS) iψt(t,x)− ψ + |ψ |2σψ = 0, x ∈ R , 4/d σ 4. These solutions collapse with the quasi-self-similar ring profile ψQB , where |ψQB(t, r)| ∼ 1 L2/σ (t) QB ( r − rmax(t) L(t) ) , r = |x|, L(t) is the ring width that vanishes at singularity, rmax(t) ∼ r0L(t) is the ring radius, and α = (4 − σ)/(σ (d − 1)). The blo...

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

ژورنال

عنوان ژورنال: Proceedings of the Edinburgh Mathematical Society

سال: 2011

ISSN: 0013-0915,1464-3839

DOI: 10.1017/s0013091510000234