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)

zbMATH Keywords

regularityexistencefinite difference methodquasilinearnumerical schemeelliptic-hyperbolic operatorHölder continuous weak solutionperfect and isentropic fluidrectangle domain

Mathematics Subject Classification ID

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)

Related Items

On the existence and regularity of solutions of a quasilinear mixed equation of Leray-Lions type, On the approximation of a quasilinear mixed problem, Multiplicity of positive solutions for singular elliptic problems, Nonexistence of solutions for singular elliptic equations with a quadratic gradient term, A singular nonlinear elliptic equation with natural growth in the gradient, Existence and multiplicity of weak solutions for a singular semilinear elliptic equation, Local Behavior of Solutions of Quasilinear Elliptic Equations With General Structure

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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