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Theme for TIFR Centre For Applicable Mathematics, Bangalore

In this talk we discuss elliptic PDEs involving the biharmonic operator and a semilinear term. In particular, we study problems that arise naturally while trying to prescribe the so-called Q-curvature function on the standard N-sphere, $$N \geq 4$$ and existence/non-existence of point singularities in domains in $$\mathbb{R}^N, N \geq 4$$.