My research interest is in the area of nonlinear elliptic partial differential equations. My
work is focused in studying solutions of Elliptic PDEs with linear or nonlinear boundary
conditions. In particular, I have contributed to the study of two distinct types of problems

• Linear Elliptic PDEs with nonlinear boundary condition, and

• Nonlinear Elliptic PDEs with linear boundary condition. 

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I have been successful in both directions. My work has resulted several papers and several more are at various stages of preparation for submission to journal. Existence, multiplicity, nonexistence, and bifurcation diagrams of positive solutions with respect to a bifurcation parameter are studied in both cases.