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Article Contents

# On semilinear elliptic equations involving critical Sobolev exponents and sign-changing weight function

• In this paper, we study the decomposition of the Nehari manifold via the combination of concave and convex nonlinearities. Furthermore, we use this result to prove that the semilinear elliptic equation with a sign-changing weight function has at least two positive solutions.
Mathematics Subject Classification: Primary: 35J65; Secondary: 35J20.

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