On a semilinear elliptic equation with inverse square potential

• but when µ ≤ 0, the eigenvalues do not satisfy a good uniform gap condition from above; we use here some new tools developped in [7] in order to treat cases where the eigenvalues

Using the same idea as in [15], the profile decomposition of bounded sequences in H 2 and H s (0 < s < 1) were then established in [29, 30] to study dynamical aspects of

[1] T. Aubin, Prol` emes isop´ erim´ etriques et espaces de Sobolev, J. Mizutani, Uniform resolvent and Strichartz estimates for Schr¨ odinger equations with critical singularities,

• His argument for the separation of spectra associated to the different wells is less explicit than ours which uses the semi-classical trace formula (see Section 11.3).. • He does

We apply the adjoint weighted equation method (AWE) for the direct solution of inverse problems of elasticity where the shear modulus distribution is reconstructed from given

We linearize the inverse branches of the iterates of holomorphic endomorphisms of P k and thus overcome the lack of Koebe distortion theorem in this setting when k ≥ 2.. Setting J

Prove the Inverse Function Theorem (the statement is below). (Hint: reduce to the case considered in the

Prove the Inverse Function Theorem (the statement is below). (Hint: reduce to the case considered in the