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On nonlinear fractional Schrodinger equation with indefinite potential and Hardy potential
2022This paper is concerned with a class of fractional Schr\”{o}dinger equation with Hardy potential \begin{equation}\nonumber (-\Delta)^{s}u+V(x)u-\frac{\kappa}{|x|^{2s}}u=f(x,u),~~x\in \mathbb{R}^{N}, \end{equation} where $s\in(0,1)$ and $\kappa\geq0$ is a parameter.
Heilong Mi, Wen Zhang, Fangfang Liao
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A parameterized quasilinear Schrödinger equation with indefinite potentials
Nonlinear Analysis, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Giacomoni, Jacques +3 more
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On a nonlinear Schrödinger equation with indefinite potential
Nonlinear Analysis: Real World Applications, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Huang, Yisheng, Liu, Zeng, Wu, Yuanze
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The Cataphoric Potential of Indefinites in German
2011Not only do indefinite noun phrases introduce new discourse referents, they also equip them with a cataphoric (or forward-looking) potential, i.e. with a certain degree of activation which is mirrored in discourse effects such as the frequency of anaphoric references back to the referent in the subsequent discourse.
Annika Deichsel, Klaus von Heusinger
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A quasi-linear Schrödinger equation with indefinite potential
Complex Variables and Elliptic Equations, 2016In this paper, we investigate the existence of solution for the quasi-linear Schrodinger equation:in , where g has a subcritical growth and a kind of monotonicity and V is a potential, which changes sign. We employ the mountain pass theorem to obtain the existence of a non-trivial solution.
L.A. Maia +2 more
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Schrödinger Robin problems with indefinite potential and logistic reaction
Complex Variables and Elliptic Equations, 2020We consider semilinear Robin problems driven by a Schrodinger operator with indefinite potential and a logistic reaction.
Leszek Gasiński +2 more
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Multiplicity Results for Nonlinear Nonhomogeneous Robin Problems with Indefinite Potential Term
Results in Mathematics, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bai, Yunru +2 more
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Dirichlet problems with double resonance and an indefinite potential
Nonlinear Analysis: Theory, Methods & Applications, 2012zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gasiński, Leszek +1 more
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Coercive and noncoercive nonlinear Neumann problems with indefinite potential
Forum Mathematicum, 2015Abstract We consider nonlinear Neumann problems driven by a nonhomogeneous differential operator and an indefinite potential. In this paper we are concerned with two distinct cases. We first consider the case where the reaction is (p-1)-sublinear near ±∞ and (p-1)-superlinear near zero.
Nikolaos S. Papageorgiou +1 more
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Superlinear, Noncoercive Asymmetric Robin Problems with Indefinite, Unbounded Potential
Zeitschrift für Analysis und ihre Anwendungen, 2017We consider a semilinear Robin problem driven by the Laplacian plus an indefinite and unbounded potential. The reaction term exhibits an asymmetric behavior, namely it is superlinear in the positive direction but without satisfying the Ambrosetti–Rabinowitz condition and it is sublinear but noncoercive in the negative direction.
Nikolaos S. Papageorgiou +1 more
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