On global solution for a class of \(p(x)\)-Laplacian equations with logarithmic nonlinearity

DOI10.1007/s00009-024-02604-5zbMath1540.35253MaRDI QIDQ6537101

Le Cong Nhan, Le Xuan Truong, Quach Van Chuong

Publication date: 14 May 2024

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

blow-upglobal existenceNehari manifoldvariable exponent\(p(x)\)-Laplacian operator

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Blow-up in context of PDEs (35B44) Quasilinear parabolic equations with (p)-Laplacian (35K92)

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