On the existence and regularity of solutions of a quasilinear mixed equation of Leray-Lions type
DOI10.1007/BF00046884zbMath0669.35080MaRDI QIDQ1118760
B. Michaux, Jean Michel Rakotoson, Jie Shen
Publication date: 1988
Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)
regularityexistencefinite difference methodquasilinearnumerical schemeelliptic-hyperbolic operatorHölder continuous weak solutionperfect and isentropic fluidrectangle domain
General aerodynamics and subsonic flows (76G25) Gas dynamics (general theory) (76N15) Inverse problems for PDEs (35R30) Nonlinear elliptic equations (35J60) Partial differential equations of mathematical physics and other areas of application (35Q99) Variational methods for second-order elliptic equations (35J20) Partial differential equations of mixed type and mixed-type systems of partial differential equations (35M99)
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Cites Work
- On the existence and regularity of solutions of a quasilinear mixed equation of Leray-Lions type
- Directional derivative of the increasing rearrangement mapping and application to a queer differential equation in plasma physics
- Existence of bounded solutions of some degenerate quasilinear elliptic equations
- A new proof of de Giorgi's theorem concerning the regularity problem for elliptic differential equations
- On some degenerate and nondegenerate quasilinear elliptic systems with nonhomogeneous Dirichlet boundary condition
- On harnack type inequalities and their application to quasilinear elliptic equations
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