Maximum principles for fourth order nonlinear elliptic equations with applications

D. B. Dhaigude; R. M. Dhaigude; Gajanan Chandrakantrao Lomte

doi:10.5269/bspm.v32i1.17305

Maximum principles for fourth order nonlinear elliptic equations with applications

D. B. Dhaigude Dr. Babasaheb Ambedkar Marathwada University Department of Mathematics
R. M. Dhaigude Government Vidarbha Institute of Science and Humanities Department of Mathematics
Gajanan Chandrakantrao Lomte Dr. Babasaheb Ambedkar Marathwada University Department of Mathematics

DOI: https://doi.org/10.5269/bspm.v32i1.17305

Résumé

The paper is devoted to prove maximum principles for the certain functionals defined on solution of the fourth order nonlinear elliptic equations. These maximum principle so obtained is used to prove the nonexistence of nontrivial solutions of the fourth order nonlinear elliptic equation with some zero boundary conditions.