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Multiplicity of positive solutions to weighted nonlinear elliptic system involving critical exponents

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Abstract

This paper deals with the existence and multiplicity of nontrivial solutions to a weighted nonlinear elliptic system with nonlinear homogeneous boundary condition in a bounded domain. By using the Caffarelli-Kohn-Nirenberg inequality and variational method, we prove that the system has at least two nontrivial solutions when the parameter λ belongs to a certain subset of ℝ.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Sciences, Razi University, Kermanshah, 67149, Iran

    Nemat Nyamoradi

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  1. Nemat Nyamoradi
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Nyamoradi, N. Multiplicity of positive solutions to weighted nonlinear elliptic system involving critical exponents. Sci. China Math. 56, 1831–1844 (2013). https://doi.org/10.1007/s11425-013-4613-1

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  • DOI: https://doi.org/10.1007/s11425-013-4613-1

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