Results 21 to 30 of about 2,242 (124)
Advances in Mathematical Physics, Volume 2022, Issue 1, 2022., 2022 In this paper, we consider the following fourth order elliptic Kirchhoff‐type equation involving the critical growth of the form Δ2u−a+b∫ℝN∇u2dxΔu+Vxu=Iα∗Fufu+λu2∗∗−2u,in ℝN,u∈H2ℝN, where a > 0, b ≥ 0, λ is a positive parameter, α ∈ (N − 2, N), 5 ≤ N ≤ 8, V : ℝN⟶ℝ is a potential function, and Iα is a Riesz potential of order α.
Li Zhou, Chuanxi Zhu, Sergey Shmarev
wiley +1 more source
Electronic Research Archive, 2022 In this paper, we consider a class of critical Schrödinger-Bopp-Podolsky system. By virtue of the Nehari manifold and variational methods, we study the existence, nonexistence and asymptotic behavior of ground state solutions for this problem.
Senli Liu, Haibo Chen
doaj +1 more source
On a class of nonlocal nonlinear Schrödinger equations with potential well
Advances in Nonlinear Analysis, 2019 In this paper we investigate the existence, multiplicity and asymptotic behavior of positive solution for the nonlocal nonlinear Schrödinger equations. We exploiting the relationship between the Nehari manifold and eigenvalue problems to discuss how the ...
Wu Tsung-fang
doaj +1 more source
Existence of Weak Solutions for Nonlinear Time-Fractional p-Laplace Problems
Journal of Applied Mathematics, 2014 The existence of weak solution for p-Laplace problem is studied in the paper. By exploiting the relationship between the Nehari manifold and fibering maps and combining the compact imbedding theorem and the behavior of Palais-Smale sequences in the ...
Meilan Qiu, Liquan Mei
doaj +1 more source
Blow up results for a viscoelastic Kirchhoff-type equation with logarithmic nonlinearity and strong damping [PDF]
Mathematica Moravica, 2021 A Kirchhoff equation type with memory term competing with a logarithmic source is considered. By using potential well theory, we obtained the global existence of solution for the initial data in a stability set created from Nehari Manifold and prove blow
Ferreira Jorge +3 more
doaj +1 more source
Nodal solutions for the Choquard equation [PDF]
, 2016 We consider the general Choquard equations $$ -\Delta u + u = (I_\alpha \ast |u|^p) |u|^{p - 2} u $$ where $I_\alpha$ is a Riesz potential. We construct minimal action odd solutions for $p \in (\frac{N + \alpha}{N}, \frac{N + \alpha}{N - 2})$ and ...
Ghimenti, Marco, Van Schaftingen, Jean
core +2 more sources
Multiplicity of positive solutions for a gradient type cooperative/competitive elliptic system
Electronic Journal of Differential Equations, 2020 We study the existence of positive solutions for gradient type cooperative, competitive elliptic systems, which depends on real parameters $\lambda,\mu$. Our analysis is purely variational and depends on finer estimates with respect to the Nehari sets,
Kaye Silva, Steffanio Moreno Sousa
doaj
, 2017 We study a $p$-Laplacian equation involving a parameter $\lambda$ and a concave-convex nonlinearity containing a weight which can change sign. By using the Nehari manifold and the fibering method, we show the existence of two positive solutions on some ...
Macedo, Abiel, Silva, Kaye
core +1 more source
Positive solutions for asymptotically linear problems in exterior domains
, 2016 The existence of a positive solution for a class of asymptotically lin- ear problems in exterior domains is established via a linking argument on the Nehari manifold and by means of a barycenter ...
Maia, Liliane A., Pellacci, Benedetta
core +1 more source
Journal of Function Spaces, 2020 In this paper, we prove the existence and multiplicity of positive solutions for a class of fractional p & q Laplacian problem with singular nonlinearity.
Dandan Yang, Chuanzhi Bai
doaj +1 more source