Existence results for a variable exponent elliptic problem via topological method
نویسندگان
چکیده
منابع مشابه
Existence Results for a Dirichlet Quasilinear Elliptic Problem
In this paper, existence results of positive classical solutions for a class of second-order differential equations with the nonlinearity dependent on the derivative are established. The approach is based on variational methods.
متن کاملExistence results for a quasilinear elliptic problem with a gradient term via shooting method
In this article we consider the problem −∆pu − b (x) |∇u| p−1 = a (x) f (u) , u > 0 on R (N ≥ 3), lim|x|→∞ u(x) = 0. We prove that the considered problem has a bounded positive entire radial solution under some conditions on a, b and f . The method of proving theorems is essentially based on the shooting method. Our result, about the existence of radially symmetric solutions, seem to be the fir...
متن کاملUniqueness results for a Dirichlet problem with variable exponent
We study the uniqueness of weak solutions for Dirichlet problems with variable exponent and non-standard growth conditions. First, we provide two uniqueness results under ellipticity type hypotheses. Next, we provide a uniqueness result when the operator driving the problem is in the form of the divergence of a monotone map. Finally, we derive a fourth uniqueness result under homogeneity type h...
متن کاملExistence results for semilinear elliptic boundary value problems via topological methods
where Ω ⊂ R (N ≧ 1) is a nonempty bounded open set with smooth boundary ∂Ω and f : Ω×R → R is a continuous function. We seek C-solutions, i.e. function u ∈ C(Ω) which satisfy (1) in the sense of distributions. In recent years, many authors have studied the existence of solutions for problem (1) from several points of view and with different approaches (see,for example, [A, AR, CCN, CTY]). For i...
متن کاملExistence of Multiple Solutions for a Singular Elliptic Problem with Critical Sobolev Exponent
and Applied Analysis 3 The following Hardy-Sobolev inequality is due to Caffarelli et al. 12 , which is called Caffarelli-Kohn-Nirenberg inequality. There exist constants S1, S2 > 0 such that (∫ RN |x|−bp |u|pdx )p/p∗ ≤ S1 ∫ RN |x|−ap|∇u|pdx, ∀u ∈ C∞ 0 ( R N ) , 1.8 ∫ RN |x|− a 1 |u|dx ≤ S2 ∫ RN |x|−ap|∇u|pdx, ∀u ∈ C∞ 0 ( R N ) , 1.9 where p∗ Np/ N − pd is called the Sobolev critical exponent. ...
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: Boundary Value Problems
سال: 2012
ISSN: 1687-2770
DOI: 10.1186/1687-2770-2012-99