Ground state solutions for a semilinear elliptic problem with critical-subcritical growth
نویسندگان
چکیده
منابع مشابه
Existence of ground state solutions for a class of nonlinear elliptic equations with fast increasing weight
This paper is devoted to get a ground state solution for a class of nonlinear elliptic equations with fast increasing weight. We apply the variational methods to prove the existence of ground state solution.
متن کاملNew conditions on ground state solutions for Hamiltonian elliptic systems with gradient terms
This paper is concerned with the following elliptic system:$$ left{ begin{array}{ll} -triangle u + b(x)nabla u + V(x)u=g(x, v), -triangle v - b(x)nabla v + V(x)v=f(x, u), end{array} right. $$ for $x in {R}^{N}$, where $V $, $b$ and $W$ are 1-periodic in $x$, and $f(x,t)$, $g(x,t)$ are super-quadratic. In this paper, we give a new technique to show the boundedness of Cerami sequences and estab...
متن کاملGround State Solutions for Semilinear Elliptic Equations with Zero Mass in R
In this article, we study the semilinear elliptic equation −∆u = |u|p(x)−2u, x ∈ R u ∈ D(R ), where N ≥ 3, p(x) = ( p, x ∈ Ω 2∗, x 6∈ Ω, with 2 < p < 2∗ := 2N/(N − 2), Ω ⊂ RN is a bounded set with nonempty interior. By using the Nehari manifold, we obtain a positive ground state solution.
متن کاملExistence of Nonnegative Solutions for Semilinear Elliptic Equations with Subcritical Exponents
where Ω is a bounded domain in R , N ≥ 3, with a smooth boundary ∂Ω and f : Ω× R× R → R. The existence of positive solutions to (1.1) in the case where f depends only on u and grows subcritically has been studied extensively in recent years (see the review article by Lions [3] and the references therein). In this paper, we establish the existence of nonnegative solutions to (1.1) where f has a ...
متن کاملnew conditions on ground state solutions for hamiltonian elliptic systems with gradient terms
this paper is concerned with the following elliptic system:$$ left{ begin{array}{ll} -triangle u + b(x)nabla u + v(x)u=g(x, v), -triangle v - b(x)nabla v + v(x)v=f(x, u), end{array} right. $$ for $x in {r}^{n}$, where $v $, $b$ and $w$ are 1-periodic in $x$, and $f(x,t)$, $g(x,t)$ are super-quadratic. in this paper, we give a new technique to show the boundedness of cerami sequences and establi...
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: Advances in Nonlinear Analysis
سال: 2018
ISSN: 2191-950X
DOI: 10.1515/anona-2017-0170