Solution, Gradient, and Laplacian Bounds in Some Nonlinear Fourth Order Elliptic Equations

DOI10.1137/0518033zbMath0628.35030OpenAlexW1976376419MaRDI QIDQ3764545

Philip W. Schaefer

Publication date: 1987

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0518033

zbMATH Keywords

maximum principlesgradientLaplacianfourth ordermethod of auxiliary functionsestimates for the solution

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Maximum principles in context of PDEs (35B50) A priori estimates in context of PDEs (35B45)

Related Items (6)

Classical solutions for some higher order semilinear elliptic equations under weak growth conditions ⋮ Pointwise estimates in a class of fourth order nonlinear elliptic equations ⋮ On the development of functionals which satisfy a maximum principle ⋮ Maximum principles and bounds for a class of fourth order nonlinear elliptic equations ⋮ Maximum principles for a fourth order equation from thin plate theory ⋮ MAXIMUM PRINCIPLES FOR SOME HIGHER-ORDER SEMILINEAR ELLIPTIC EQUATIONS

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