A Maximum Principle Result for a General Fourth Order Semilinear Elliptic Equation - Journal of Applied Mathematics and Physics

JAMP > Vol.4 No.8, August 2016

Journal of Applied Mathematics and Physics

Volume 4, Issue 8 (August 2016)

ISSN Print: 2327-4352 ISSN Online: 2327-4379

Google-based Impact Factor: 0.70 Citations

A Maximum Principle Result for a General Fourth Order Semilinear Elliptic Equation ()

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DOI: 10.4236/jamp.2016.48176 1,722 Downloads 2,709 Views Citations

Author(s)

A. Mareno

Affiliation(s)

Penn State University, Middletown, USA.

ABSTRACT

We obtain maximum principles for solutions of some general fourth order elliptic equations by modifying an auxiliary function introduced by L.E. Payne. We give a brief application of these maximum principles by deducing apriori bounds on a certain quantity of interest.

KEYWORDS

Nonlinear, Fourth Order, Partial Differential Equation, Semilinear

Share and Cite:

Mareno, A. (2016) A Maximum Principle Result for a General Fourth Order Semilinear Elliptic Equation. Journal of Applied Mathematics and Physics, 4, 1682-1686. doi: 10.4236/jamp.2016.48176.

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