On a regularity of biharmonic approximations to a nonlinear degenerate elliptic PDE

DOI10.2298/FIL1707835NzbMath1488.35240OpenAlexW1567464063MaRDI QIDQ5157352

Andrej Novak, Jela Šušić

Publication date: 13 October 2021

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/fil1707835n

zbMATH Keywords

Chebyshev inequalitynonlinear degenerate elliptic equations

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Degenerate elliptic equations (35J70) Theoretical approximation in context of PDEs (35A35) Quasilinear elliptic equations (35J62)

Cites Work

• Hyperbolic conservation laws with vanishing nonlinear diffusion and linear dispersion in heterogeneous media
• Mixed discontinuous Galerkin finite element method for the biharmonic equation
• The maximum principle and biharmonic functions
• Chebyshev inequalities and comonotonicity
• Existence of a positive solution for one-dimensional singular \(p\)-Laplacian problems and its parameter dependence
• Three nontrivial solutions for some elliptic equation involving the $N$-Laplacian
• Convergence of solution to nonlinear dispersive equations
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