Article Contents
Article Contents

# Radial and non radial ground states for a class of dilation invariant fourth order semilinear elliptic equations on $R^n$

• We prove existence of extremal functions for some Rellich-Sobolev type inequalities involving the $L^2$ norm of the Laplacian as a leading term and the $L^2$ norm of the gradient, weighted with a Hardy potential. Moreover we exhibit a breaking symmetry phenomenon when the nonlinearity has a growth close to the critical one and the singular potential increases in strength.
Mathematics Subject Classification: 26D10, 47F05.

 Citation:

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