Infinitely many solutions for Schrödinger–Kirchhoff-type equations involving indefinite potential
Electronic Journal of Qualitative Theory of Differential Equations, 2017 In this paper, we study the multiplicity of solutions for the following Schrödinger–Kirchhoff-type equation \[ \begin{cases}-\left(a+b\int_{\mathbb{R}^N}|\nabla u|^2dx\right)\triangle u+V(x)u=f(x,u)+g(x,u), \quad x\in \mathbb{R}^N,\\ u\in H^1(\mathbb{R}^
Qingye Zhang, Bin Xu
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Positive solutions for Neumann problems with indefinite and unbounded potential
Applied Mathematics Letters, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nikolaos S. Papageorgiou +1 more
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Resonant Robin problems driven by the ▫$p$▫-Laplacian plus an indefinite potential [PDF]
, 2018 We consider a nonlinear Robin problems driven by the ▫$p$▫-Laplacian plus an indefinite potential. The reaction is resonant with respect to a variational eigenvalue. For the principal eigenvalue we assume strong resonance.
Rǎdulescu, Vicenţiu +7 more
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Children’s knowledge of indefinite and definite reference [PDF]
, 1990 After reviewing previous theoretical and empirical investigations, the decision is made that an understanding of both "Familiarity' and 'Specificity' must be necessary for a full appreciation of indefiniteness/definiteness.
Sims, K.M +2 more
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Focus structure and the referential status of indefinite quantificational expressions [PDF]
, 2013 Many authors who subscribe to some version of generative syntax account for the two readings of [...] sentences [...] in terms of LF-ambiguity. There is assumed to be covert quantifier raising (QR), which results in two distinct possibilities for the ...
Breul, Carsten
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Nontrivial Solutions for 4-Superlinear Schrödinger–Kirchhoff Equations with Indefinite Potentials
Journal of Function Spaces, 2021 This paper is devoted to the 4-superlinear Schrödinger–Kirchhoff equation −a+b∫ℝ3∇u2dxΔu+Vxu=fx,u,in ℝ3, where a>0, b≥0. The potential V here is indefinite so that the Schrödinger operator −Δ+V possesses a finite-dimensional negative space.
Wei Chen, Yue Wu
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Superlinear perturbations of the eigenvalue problem for the Robin Laplacian plus an indefinite and unbounded potential [PDF]
, 2020 We consider a superlinear perturbation of the eigenvalue problem for the Robin Laplacian plus an indefinite and unbounded potential. Using variational tools and critical groups, we show that when ▫$lambda$▫ is close to a nonprincipal eigenvalue, then the
Rǎdulescu, Vicenţiu +2 more
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Principal eigenvalue in an unbounded domain with indefinite potential [PDF]
Nonlinear Differential Equations and Applications NoDEA, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Leadi, Liamidi, Yechoui, Akila
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Semilinear Robin problems driven by the Laplacian plus an indefinite potential [PDF]
, 2020 We study a semilinear Robin problem driven by the Laplacian plus an indefinite potential. We consider the case where the reaction term f is a Carathéodory function exhibiting linear growth near ±∞.
Vetro C.
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Solutions for the Problems Involving Fractional Laplacian and Indefinite Potentials
Advanced Nonlinear Studies, 2017 Abstract In this paper, we consider a class of Schrödinger equations involving fractional Laplacian and indefinite potentials. By modifying the definition of the Nehari–Pankov manifold, we prove the existence and asymptotic behavior of least energy solutions.
Tang Zhongwei, Wang Lushun
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