Japan's Nikkei 225 index edged up 0.3% as the government reported Monday that the economy grew at a better-than-expected 2.1% annual pace in January-March.
Markets in Shanghai and Hong Kong fell back without any positive updates on the trade standoff between the U.S. and China.
Australian Prime Minister Scott Morrison vowed Sunday to get straight back to work after a shock election victory by his conservative government left bewildered voters wondering how they were taken by surprise.
Voting in India's election, which lasted more than five weeks, ended with exit polls predicting Prime Minister Narendra Modi's Hindu nationalist party and its allies will win another five years in office.
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