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Zhang, Yajing; Lü, Yinmei; Wang, Ningning

Existence of positive solutions of semilinear biharmonic equations. (English) Zbl 1474.35327

Abstr. Appl. Anal. 2014, Article ID 624328, 11 p. (2014).
Summary: This paper is concerned with the existence of positive solutions of semilinear biharmonic problem whose associated functionals do not satisfy the Palais-Smale condition.

Cited in 1 Document

MSC:

35J65 Nonlinear boundary value problems for linear elliptic equations
35J40 Boundary value problems for higher-order elliptic equations
31B30 Biharmonic and polyharmonic equations and functions in higher dimensions
35J35 Variational methods for higher-order elliptic equations
35J91 Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian
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