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  • Non-local equations: existence and multiplicity results 
    MUKHERJEE, DEBANGANA (Dept. of Mathematics, 2016-07)
    The main theme of my thesis is based on non-local type elliptic equations. In particular, existence of infinitely many nontrivial solutions for a class of equations driven by non-local integro-differential operator ...
  • Theory of Elliptic PDE 
    RAKSHIT, ARGHYA (2020-04)
    In this dissertation we present a brief introduction to theory of elliptic partial differential equations (PDE). First we review theory of Sobolev spaces. After that we discuss existence, regularity and other qualitative ...
  • Multiplicity results for fractional elliptic equations and system of equations 
    CHAKRABORTY, SOUPTIK (Dept. of Mathematics, 2021-10)
    The major theme of this thesis is the study of multiplicity results for fractional elliptic equations and the system of equations. The thesis is mainly divided into three parts. In the first part, the existence and ...

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