Maximum principles and bounds for a class of fourth order nonlinear elliptic equations

A. Mareno

doi:10.1016/j.jmaa.2010.10.043

Maximum principles and bounds for a class of fourth order nonlinear elliptic equations

A. Mareno

School of Science, Engineering & Technology (Harrisburg)

Research output: Contribution to journal › Article › peer-review

13 Scopus citations

Abstract

We deduce maximum principles for a class of fourth order nonlinear elliptic equations by using auxiliary functions containing the square of the second gradient of the solution of such equations. A priori bounds on various quantities of interest are obtained.

Original language	English (US)
Pages (from-to)	495-500
Number of pages	6
Journal	Journal of Mathematical Analysis and Applications
Volume	377
Issue number	2
DOIs	https://doi.org/10.1016/j.jmaa.2010.10.043
State	Published - May 15 2011

All Science Journal Classification (ASJC) codes

Analysis
Applied Mathematics

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10.1016/j.jmaa.2010.10.043

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abstract = "We deduce maximum principles for a class of fourth order nonlinear elliptic equations by using auxiliary functions containing the square of the second gradient of the solution of such equations. A priori bounds on various quantities of interest are obtained.",

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Maximum principles and bounds for a class of fourth order nonlinear elliptic equations

Abstract

All Science Journal Classification (ASJC) codes

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