Singular behavior of an electrostatic-elastic membrane system with an external pressure

DOI10.1016/j.na.2019.111611zbMath1430.35101arXiv1902.03707OpenAlexW2945916038MaRDI QIDQ2280393

Feng Zhou, Yanyan Zhang, Yujin Guo

Publication date: 18 December 2019

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.03707

zbMATH Keywords

semilinear equation with Laplacianexistence and nonexistence of positive solutionselectrostatic-elastic membrane system

Mathematics Subject Classification ID

Electromagnetic effects in solid mechanics (74F15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Positive solutions to PDEs (35B09) Singular elliptic equations (35J75) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Related Items (3)

Asymptotic and quenching behaviors of semilinear parabolic systems with singular nonlinearities ⋮ Positive singular solutions of a nonlinear Maxwell equation arising in mesoscopic electromagnetism ⋮ On semilinear elliptic equation with negative exponent arising from a closed MEMS model

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