Existence,multiplicity, and nonexistence of solutions for a p-Kirchhoff elliptic equation on R N $\mathbb{R}^{N}$
نویسندگان
چکیده
منابع مشابه
On nonlocal elliptic system of $p$-Kirchhoff-type in $mathbb{R}^N$
Using Nehari manifold methods and Mountain pass theorem, the existence of nontrivial and radially symmetric solutions for a class of $p$-Kirchhoff-type system are established.
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Using variational arguments, we prove the existence of infinitely many solutions to a class of $p$-biharmonic equation in $mathbb{R}^N$. The existence of nontrivial solution is established under a new set of hypotheses on the potential $V(x)$ and the weight functions $h_1(x), h_2(x)$.
متن کاملon nonlocal elliptic system of $p$-kirchhoff-type in $mathbb{r}^n$
using nehari manifold methods and mountain pass theorem, the existence of nontrivial and radially symmetric solutions for a class of $p$-kirchhoff-type system are established.
متن کاملOn the Existence of Solutions of a Nonlocal Elliptic Equation with a p-Kirchhoff-Type Term
Questions on the existence of positive solutions for the following class of elliptic problems are studied: − M ‖u‖p1,p 1,p Δpu f x, u , in Ω, u 0, on ∂Ω, where Ω ⊂ R is a bounded smooth domain, f : Ω ×R → R and M : R → R, R 0,∞ are given functions. Copyright q 2008 F. J. S. A. Corrêa and R. G. Nascimento. This is an open access article distributed under the Creative Commons Attribution License,...
متن کاملinfinitely many solutions for a class of $p$-biharmonic equation in $mathbb{r}^n$
using variational arguments, we prove the existence of infinitely many solutions to a class of $p$-biharmonic equation in $mathbb{r}^n$. the existence of nontrivial solution is established under a new set of hypotheses on the potential $v(x)$ and the weight functions $h_1(x), h_2(x)$.
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ژورنال
عنوان ژورنال: Boundary Value Problems
سال: 2017
ISSN: 1687-2770
DOI: 10.1186/s13661-017-0752-6