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The recent RCNP $(\alpha, \alpha')$ data on the Isoscalar Giant MonopoleResonance (ISGMR) and Isoscalar Giant Quadrupole Resonance (ISGQR) in$^{92,94,96,98,100}$Mo are analyzed within a fully self-consistentQuasiparticle Random Phase Approximation (QRPA) approach with Skyrmeinteractions, in which pairing correlations and possible axial deformations aretaken into account. The Skyrme sets SkM*, SLy6, SVbas and SkP$^{\delta}$, thatexplore a diversity of nuclear matter properties, are used. We discuss theconnection between the line shape of the monopole strength ISGMR and thedeformation-induced coupling between the ISGMR and the $K=0$ branch of theISGQR. The ISGMR centroid energy is best described by the force SkP$^{\delta}$,having a low incompressibility $K_{\infty}$ = 202 MeV. The ISGQR data arebetter reproduced by SVbas, that has large isoscalar effective mass $m^*/m$ =0.9. The need of describing simultaneously the ISGMR and ISGQR data isstressed, with the requirement of suitable values of $K_\infty$ and $m^*/m$.Possible extensions of the QRPA to deal with soft systems are also envisaged.

Isoscalar monopole and quadrupole modes in Mo isotopes: microscopic analysis