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Existence and multiplicity of nontrivial solutions for an elliptic equation on ℝN with indefinite linear part

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Abstract.

 Via the Linking Theorem and Pseudo-index theory, we consider the existence and multiplicity of nontrivial solutions for a class of elliptic problems in all of ℝN with indefinite linear part involving resonance and non-resonance at any eigenvalue.

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Authors and Affiliations

  1. Department of Mathematics, Fujian Teacher's University, Fuzhou, 350007, P. R. China. e-mail: chenjq@mail2.math.ac.cn, , , , , , CN

    Jianqing Chen

  2. Institute of Mathematics, Academy of Mathematics and System Sciences, Academia Sinica, Beijing 100080, P. R. China, , , , , , CN

    Shujie Li

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  1. Jianqing Chen
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  2. Shujie Li
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Received: 9 September 2002 / Revised version: 14 February 2003 Published online: 24 April 2003

Mathematics Subject Classification (2000): 35J20, 35J70

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Chen, J., Li, S. Existence and multiplicity of nontrivial solutions for an elliptic equation on ℝN with indefinite linear part. manuscripta math. 111, 221–239 (2003). https://doi.org/10.1007/s00229-003-0369-1

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  • DOI: https://doi.org/10.1007/s00229-003-0369-1

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