Sign changing solutions for coupled critical elliptic equations (Q2305199)
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| Language | Label | Description | Also known as |
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| English | Sign changing solutions for coupled critical elliptic equations |
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Sign changing solutions for coupled critical elliptic equations (English)
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10 March 2020
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Summary: In this paper, we consider the coupled elliptic system with a Sobolev critical exponent. We show the existence of a sign changing solution for problem \(\left(\mathscr{P}\right)\) for the coupling parameter \(-\sqrt{\mu_1 \mu_2} < \beta < 0\). We also construct multiple sign changing solutions for the symmetric case.
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coupled elliptic system
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critical exponent
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existence of a solution
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