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math.AP2019
Existence results of two mixed boundary value elliptic PDEs in
Akasmika Panda, Debajyoti Choudhuri
We study the existence of a solution to the mixed boundary value problem for Helmholtz and Poisson type equations in a bounded Lipschitz domain and in $\math…
math.AP2019
A study and an application of the concentration compactness type principle
Akasmika Panda, Debajyoti Choudhuri
In this article we develop a concentration compactness type principle in a variable exponent setup. As an application of this principle we discuss a problem involving fractional `{…