Regulators searched for a solution to First Republic Bank’s woes over the weekend, hoping to find a way forward before U.S. stock markets opened Monday. San Francisco-based First Republic has struggled since the collapse of Silicon Valley Bank and Signature Bank in early March, as investors and depositors grew increasingly worried the bank may not survive as an independent entity. World markets have periodically been shaken by worries over turmoil in the banking industry since Silicon Valley Bank's collapse.