Nonexistence results for the Schrödinger-Poisson equations with spherical and cylindrical potentials in \(\mathbb{R}^3\)
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Publication:2319224
DOI10.1155/2013/890126zbMath1470.35157OpenAlexW2070502508WikidataQ58917664 ScholiaQ58917664MaRDI QIDQ2319224
Yongsheng Jiang, Benchawan Wiwatanapataphee, Yan-Li Zhou, Xiang-Yu Ge
Publication date: 16 August 2019
Published in: Abstract and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2013/890126
Existence problems for PDEs: global existence, local existence, non-existence (35A01) Second-order elliptic systems (35J47) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)
Cites Work
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- Elliptic equations with decaying cylindrical potentials and power-type nonlinearities
- The Schrödinger-Poisson-\(X\alpha\) equation
- Long-time dynamics of the Schrödinger-Poisson-Slater system
- The Schrödinger-Poisson equation under the effect of a nonlinear local term
- A Simplification of the Hartree-Fock Method
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