Maximum principles for solutions of some fourth-order elliptic equations

DOI10.1016/0022-247X(72)90248-XzbMath0227.35039MaRDI QIDQ2549426

D. R. Dunninger

Publication date: 1972

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Mathematics Subject Classification ID

Higher-order elliptic equations (35J30)

Related Items (18)

Pointwise estimates in a class of fourth order nonlinear elliptic equations ⋮ On the development of functionals which satisfy a maximum principle ⋮ High energy solutions and nontrivial solutions for fourth-order elliptic equations ⋮ Generalized Gaussian scale-space axiomatics comprising linear scale-space, affine scale-space and spatio-temporal scale-space ⋮ Qualitative properties for solutions to conformally invariant fourth order critical systems ⋮ Maximum principles and bounds for a class of fourth order nonlinear elliptic equations ⋮ Existence and approximation of solutions of inverse- positive problems ⋮ Sturmian theorems for a class of elliptic equations of order 4m ⋮ Existence and multiplicity of solutions for a class of fourth-order elliptic equations in \(R^N\) ⋮ On a subharmonic functional in fourth order nonlinear elliptic problems ⋮ Maximum principles for elliptic systems ⋮ MAXIMUM PRINCIPLES FOR SOME HIGHER-ORDER SEMILINEAR ELLIPTIC EQUATIONS ⋮ On a subharmonic functional of some even order elliptic problems ⋮ Infinitely many solutions for fourth-order elliptic equations with general potentials ⋮ Uniqueness in some higher order elliptic boundary value problems ⋮ Maximum principles for a certain class of semi-linear elliptic partial differential equations ⋮ On pointwise estimates for metaharmonic functions ⋮ Unnamed Item

Cites Work

• Teorema del massimo modulo e teorema di esistenza e di unicità per il problema di Dirichlet relativo alle equazioni ellittiche in due variabili
• The maximum principle and biharmonic functions
• Comparison and maximum theorems for systems of quasilinear elliptic differential equations
• Maximum theorems for solutions of higher order elliptic equations
• Unnamed Item

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