Existence of solutions for semilinear elliptic problems without (PS) condition

Yang, Jianfu

doi:10.1090/S0002-9939-03-07088-6

Existence of solutions for semilinear elliptic problems without (PS) condition
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Proc. Amer. Math. Soc. 132 (2004), 1355-1366 Request permission

Abstract:

We establish an existence result for semilinear elliptic problems with the associated functional not satisfying the Palais-Smale condition. The nonlinearity of our problem does not satisfy the Ambrosetti-Rabinowitz condition.

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