Some indications of success of Ukraine counter-offensive

 ISW:

Ukrainian forces in southeastern Kharkiv Oblast are likely exploiting Russian force reallocation to the Southern Axis to conduct an opportunistic yet highly effective counteroffensive northwest of Izyum. Ukrainian forces likely used tactical surprise to advance at least 20km into Russian-held territory in eastern Kharkiv Oblast on September 7, recapturing approximately 400 square kilometers of ground. Russian sources claimed that Russian troops began deploying reinforcements to the area to defend against Ukrainian advances, and the Russian grouping in this area was likely understrength due to previous Russian deployments to support ongoing efforts to capture the remainder of Donetsk Oblast and support the southern axis.[1] Ukraine’s ongoing operations in Kherson Oblast have forced Russian forces to shift their focus to the south, enabling Ukrainian forces to launch localized but highly effective counterattacks in the Izyum area.[2] Russian milbloggers voiced concern that this Ukrainian counterattack seeks to cut ground lines of communication (GLOCs) to Russian rear areas in Kupyansk and Izyum, which would allow Ukrainian troops to isolate the Russian groupings in these areas and retake large swaths of territory.[3] These milbloggers used largely panicked and despondent tones, acknowledged significant Ukrainian gains, and claimed that the Ukrainian counteroffensive in the south may be a distraction from the ongoing actions in Kharkiv Oblast, which they name as the main Ukrainian effort.[4] The level of shock and frank discussion of Ukrainian successes by Russian milbloggers speaks to the scale of surprise achieved by Ukrainian forces, which is likely successfully demoralizing Russian forces. While it is unlikely that the southern counteroffensive and effort to attrit Russian forces in southern Ukraine is a feint for renewed operations in Kharkiv Oblast, Ukrainian forces likely took prudent advantage of a reallocation of Russian troops, equipment, and overall operational focus to launch localized counteroffensives toward critical points in Kharkiv Oblast.  

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 Ukrainian officials reiterated on September 7 that Ukrainian forces are targeting Russian logistics nodes, manpower and equipment concentrations, transportation networks, and command and control points in Kherson Oblast.[7] Ukraine’s Southern Operational Command noted that Ukrainian troops carried out over 250 fire missions between September 6 and 7.[8] The Ukrainian General Staff noted that Ukrainian strikes have significantly damaged Russian fuel and ammunition stores, impacting Russian logistical capacity and undermining combat capabilities along the Southern Axis.[9]

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There is much more.

It looks like Ukraine's strategy is working to degrade the Russian forces in the area of the offensive.  It is also thwarting to some extent Russian offensive efforts elsewhere as the Russians have to reposition troops to deal with the Ukraine offensive. The attack on Russian logistics is also hampering Russian operations.