Intrinsic scaling for PDEs with an exponential nonlinearity
نویسندگان
چکیده
منابع مشابه
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 کاملThe Two-dimensional Lazer-mckenna Conjecture for an Exponential Nonlinearity
where Ω is a bounded, smooth domain in R, φ1 is a positive first eigenfunction of the Laplacian under Dirichlet boundary conditions and h ∈ C(Ω̄). We prove that given k ≥ 1 this problem has at least k solutions for all sufficiently large s > 0, which answers affirmatively a conjecture by Lazer and McKenna [22] for this case. The solutions found exhibit multiple concentration behavior around maxi...
متن کاملa diffusion equation with exponential nonlinearity recant developments
the purpose of this paper is to analyze in detail a special nonlinear partial differentialequation (npde) of the second order which is important in physical, chemical and technicalapplications. the present npde describes nonlinear diffusion and is of interest in several partsof physics, chemistry and engineering problems alike. since nature is not linear intrinsicallythe nonlinear case is there...
متن کاملExponential quantum enhancement for distributed addition with local nonlinearity
We consider classical and entanglement-assisted versions of a distributed computation scheme that computes nonlinear Boolean functions of a set of input bits supplied by separated parties. Communication between the parties is restricted to take place through a specific apparatus which enforces the constraints that all nonlinear, nonlocal classical logic is performed by a single receiver, and th...
متن کاملStable Solutions for the Bilaplacian with Exponential Nonlinearity
Let λ > 0 denote the largest possible value of λ such that
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: Indiana University Mathematics Journal
سال: 2006
ISSN: 0022-2518
DOI: 10.1512/iumj.2006.55.2715