منابع مشابه
Multiple Positive Solutions for Some Nonlinear Elliptic Systems
where k1, k2 > 0 are positive constants, Ω ⊂ R is a bounded domain with a smooth boundary ∂Ω and V (u, v) ∈ C(R,R). We refer to [CdFM], [CM], [dFF], [dFM] and [HvV] for variational study of such elliptic systems. However, it seems that the multiplicity of positive solutions for such elliptic systems is not well studied. Here, we study a case related to some models (with diffusion) in mathematic...
متن کاملExistence of Positive Radial Solutions for Some Nonlinear Elliptic Systems
In this paper we study a class of nonvariational elliptic systems, by using the Gidas-Spruck Blow-up method. first, we obtain a priori estimates, and then using Leray-Schauder topological degree theory, we establish the existence of positive radial solutions vanishing at infinity.
متن کاملSome remarks on singular solutions of nonlinear elliptic equations. I
We study strong maximum principles for singular solutions of nonlinear elliptic and degenerate elliptic equations of second order. An application is given on symmetry of positive solutions in a punctured ball using the method of moving planes. Mathematics Subject Classification (2000). 35J69, 58J05, 53C21, 35J60.
متن کاملSome nonlinear elliptic equations from geometry.
We describe some recent work on certain nonlinear elliptic equations from geometry. These include the problem of prescribing scalar curvature on (n), the Yamabe problem on manifolds with boundary, and the best Sobolev inequality on Riemannian manifolds.
متن کاملSome Remarks on Infinite-dimensional Nonlinear Elliptic Problems
We discuss some nonlinear problems associated with an infinite dimensional operator L defined on a real separable Hilbert space H. As the operator L we choose the Ornstein-Uhlenbeck operator induced by a centered Gaussian measure μ with covariance operator Q.
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: Nonlinear Analysis
سال: 2004
ISSN: 0362-546X
DOI: 10.1016/s0362-546x(04)00279-2