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In this paper, we establish the existence of at least three weak solutions for a parametric double eigenvalue quasi-linear elliptic-  Kirchhoff-type potential system. Our approach is based on a variational method, and a three critical point theorem is obtained by Bonano and Marano.

international journal of differential equations

Multiple Solutions for Elliptic<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mrow><mml:mfenced open="(" close=")" separators="|"><mml:mrow><mml:mi>p</mml:mi><mml:mfenced open="(" close=")" separators="|"><mml:mrow><mml:mi>x</mml:mi></mml:mrow></mml:mfenced><mml:mo>,</mml:mo><mml:mi>q</mml:mi><mml:mfenced open="(" close=")" separators="|"><mml:mrow><mml:mi>x</mml:mi></mml:mrow></mml:mfenced></mml:mrow></mml:mfenced></mml:mrow></mml:math>-Kirchhoff-Type Potential Systems …

Multiple Solutions for Ellipticpx,qx-Kirchhoff-Type Potential Systems …