Results 11 to 20 of about 20,112 (145)
Fractional Schrödinger-Poisson systems with indefinite potentials
, 2021 This paper is devoted to the following fractional Schrödinger-Poisson systems: \begin{equation*} \left\{\aligned &(-\Delta)^{s} u+V(x)u+\phi(x)u= f(x,u) \,\,\,&\text{in } \mathbb{R}^3, \\ & (-\Delta)^{t} \phi(x)=u^2 \,\,\,&\text{in } \mathbb{R}^3, \endaligned \right. \end{equation*} where $(-\Delta)^{s}$ is the fractional Lapalcian, $s,
Jun Wang, li wang, Qiao Zhong
openaire +1 more source
On a Kirchhoff type problems with potential well and indefinite potential
Electronic Journal of Differential Equations, 2015 In this paper, we study the following Kirchhoff type problem:% $$ \left\{\aligned&-\bigg( \int_{\bbr^3}|\nabla u|^2dx+1\bigg) u+( a(x)+a_0)u=|u|^{p-2}u&\text{ in }\bbr^3,\\% &u\in\h,\endaligned\right.\eqno{(\mathcal{P}_{ , })}% $$ where ...
Yuanze Wu, Yisheng Huang, Zeng Liu
openaire +4 more sources
Advances in Nonlinear Analysis, 2020 We consider a nonlinear elliptic equation driven by the (p, q)–Laplacian plus an indefinite potential. The reaction is (p − 1)–superlinear and the boundary term is parametric and concave.
Papageorgiou Nikolaos S., Zhang Youpei
doaj +1 more source
On nonlinear fractional Choquard equation with indefinite potential and general nonlinearity
Boundary Value Problems, 2023 In this paper, we consider a class of fractional Choquard equations with indefinite potential ( − Δ ) α u + V ( x ) u = [ ∫ R N M ( ϵ y ) G ( u ) | x − y | μ d y ] M ( ϵ x ) g ( u ) , x ∈ R N , $$ (-\Delta )^{\alpha}u+V(x)u= \biggl[ \int _{{\mathbb{R ...
Fangfang Liao +3 more
doaj +1 more source
On a Biharmonic Equation with Steep Potential Well and Indefinite Potential
Advanced Nonlinear Studies, 2016 Abstract In this paper, we study the following biharmonic equations: {
Huang, Yisheng, Liu, Zeng, Wu, Yuanze
openaire +3 more sources
Indefinite Eigenvalue Problems for p-Laplacian Operators with Potential Terms on Networks
Abstract and Applied Analysis, 2014 We address some forward and inverse problems involving indefinite eigenvalues for discrete p-Laplacian operators with potential terms. These indefinite eigenvalues are the discrete analogues of p-Laplacians on Riemannian manifolds with potential terms ...
Jea-Hyun Park, Soon-Yeong Chung
doaj +1 more source
Electronic Journal of Qualitative Theory of Differential Equations, 2016 The present paper deals with the spectrum of a fourth order nonlinear eigenvalue problem involving variable exponent conditions and a sign-changing potential.
Qing-Mei Zhou, Ke-Qi Wang
doaj +1 more source
Non-real eigenvalues of nonlocal indefinite Sturm–Liouville problems
Boundary Value Problems, 2019 The present paper deals with non-real eigenvalues of regular nonlocal indefinite Sturm–Liouville problems. The existence of non-real eigenvalues of indefinite Sturm–Liouville differential equation with nonlocal potential K ( x , t ) $K(x,t)$ associated ...
Fu Sun +3 more
doaj +1 more source
Impact of the Neurolinguistic Approach on English Language Learners’ Implicit and Explicit Knowledge of English Articles [PDF]
Issues in Language Teaching, 2023 The neurolinguistic approach (NLA) nests the claim that both internal and external grammars (i.e., implicit and explicit grammar knowledge) develop through an intensive orality-based pedagogy.
Marzieh Bagherkazemi
doaj +1 more source
On an eigenvalue problem with variable exponents and sign-changing potential
Electronic Journal of Qualitative Theory of Differential Equations, 2015 In this paper we study a non-homogeneous eigenvalue problem involving variable growth conditions and a sign-changing potential. We prove that any $\lambda>0$ sufficiently small is an eigenvalue of the nonhomogeneous eigenvalue problem \begin{equation ...
Bin Ge
doaj +1 more source