Existence and non-existence of ground states of bi-harmonic equations involving constant and degenerate Rabinowitz potentials
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Publication:2680524
DOI10.1007/s00526-022-02375-5zbMath1506.35093arXiv2108.06301OpenAlexW4312164088MaRDI QIDQ2680524
Guozhen Lu, Lu Chen, Maochun Zhu
Publication date: 4 January 2023
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2108.06301
Existence problems for PDEs: global existence, local existence, non-existence (35A01) Higher-order elliptic equations (35J30) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)
Related Items
Existence of extremals for Trudinger-Moser inequalities involved with a trapping potential ⋮ Least energy solutions to quasilinear subelliptic equations with constant and degenerate potentials on the Heisenberg group ⋮ Bubbling phenomenon for semilinear Neumann elliptic equations of critical exponential growth ⋮ Ground state solution for a weighted fourth-order Schrödinger equation with exponential growth nonlinearity
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