On the nonlinear Schrödinger–Poisson systems with sign-changing potential
Zeitschrift für angewandte Mathematik und Physik, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sun, Juntao, Wu, Tsung-fang
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On Some Quasilinear Elliptic Systems with Singular and Sign-Changing Potentials
Mediterranean Journal of Mathematics, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Afrouzi, G. A. +2 more
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Generalized quasilinear equations with sign-changing unbounded potential
Applicable Analysis, 2020We are interested in studying the existence of solution for the generalized quasilinear Schrodinger equation: (P) − d i v ( g 2 ( u ) ∇ u ) + g ( u ) g ′ ( u ) | ∇ u | 2 + V ( x ) u = h ( x , u ) ,...
J. C. Oliveira Junior, S. I. Moreira
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The existence of nontrivial solution for biharmonic equation with sign‐changing potential
Mathematical Methods in the Applied Sciences, 2018In this paper, we study the following biharmonic equation: urn:x-wiley:mma:media:mma5127:mma5127-math-0001 where N⩾5,ν ∈ (0,ν0],1 < q < 2,Δ2u = Δ(Δu) and Vλ(x) = λa(x) − b(x) with λ > 0. Firstly, we prove the bipolar Rellich inequality.
Yu Su, Haibo Chen
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Multiple positive solutions for a Schrödinger–Newton system with sign-changing potential
Computers & Mathematics with Applications, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chun-Yu Lei, Gao-Sheng Liu
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On a class of fractional Schrödinger equations in with sign-changing potential
Applicable Analysis, 2017We are interested in finding solutions to a class of problems involving the fractional Laplacian operator. Specifically, we study the equation where , denotes the fractional Laplacian of order s, , V(x) is a continuous and unbounded potential which may change sign, and the nonlinearity is a continuous function which may be unbounded in x since its ...
Manassés de Souza, Yane Lísley Araújo
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Asymptotically linear Schrödinger equations with sign-changing potential
Nonlinear Analysis: Theory, Methods & Applications, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
He, Haiyang, Chen, Dongxiang
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Multiple Positive Solutions for p-Kirchhoff Problems with Sign-Changing Potential
Mediterranean Journal of Mathematics, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Somayeh Yazdani +3 more
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Existence of multiple solutions of Kirchhoff type equation with sign-changing potential
Applied Mathematics and Computation, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jian Zhang 0052 +2 more
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Ground state for nonlinear Schrödinger equation with sign-changing and vanishing potential
Journal of Mathematical Physics, 2011We are concerned with the least energy solution (i.e., ground state) for the following stationary nonlinear Schrödinger equation: \documentclass[12pt]{minimal}\begin{document}$-\Delta u(x)+ \lambda V(x) u(x)=K(x)f(u), \ x\break\in {\mathbb {R}^{N}}, \ N\ge 3,$\end{document}−Δu(x)+λV(x)u(x)=K(x)f(u),x∈RN,N≥3, where λ > 0, V(x) changes sign and ...
Wang, Zhengping, Zhou, Huan-Song
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