Di, Geng2021-05-142021-05-142004-11-23Di, G. (2004). Existence of infinitely many solutions for elliptic boundary-value problems with nonsymmetrical critical nonlinearity. <i>Electronic Journal of Differential Equations, 2004</i>(134), pp. 1-16.1072-6691https://hdl.handle.net/10877/13555In this paper, we study a semilinear elliptic boundary-value problem involving nonsymmetrical term with critical growth on a bounded smooth domain in ℝn. We show the existence of infinitely many weak solutions under the presence of some symmetric sublinear term, the corresponding critical values of the variational functional are negative and go to zero.Text16 pages1 file (.pdf)enAttribution 4.0 InternationalDirichlet problemCritical growthNon-symmetric perturbationInfinitely many solutionsArticle