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In this paper, we establish the existence of at least three solu- tions to a Navier boundary problem involving the (p1, . . . , pn)-biharmonic systems. We use a variational approach based on a three critical points theorem due to Ricceri [B. Ricceri, A three critical points theorem revis- ited, Nonlinear Anal. 70 (2009), 3084–3089].
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참고문헌 (23)
참고문헌 신청
A. M. Micheletti / 1998 / Multiplicity results for a fourth-order semilinear elliptic problem / Nonlinear Anal 31 (7) : 895 ~ 908
B. Ricceri / 2000 / Existence of three solutions for a class of elliptic eigenvalue problems / Math. Comput. Modelling 32 (11) : 1485 ~ 1494
B. Ricceri / 2009 / A three critical points theorem revisited / Nonlinear Anal 70 (9) : 3084 ~ 3089
C. Li / 2008 / Three solutions for a class of quasilinear elliptic systems involving the (p, q)-Laplacian / Nonlinear Anal 69 (10) : 3322 ~ 3329
C. Li / 2010 / Three solutions for a Navier boundary value problem involving the p-bi- harmonic / Nonlinear Anal 72 (3) : 1339 ~ 1347
B. Ricceri / 2000 / Existence of three solutions for a class of elliptic eigenvalue problems / Math. Comput. Modelling 32 (11) : 1485 ~ 1494
B. Ricceri / 2009 / A three critical points theorem revisited / Nonlinear Anal 70 (9) : 3084 ~ 3089
C. Li / 2008 / Three solutions for a class of quasilinear elliptic systems involving the (p, q)-Laplacian / Nonlinear Anal 69 (10) : 3322 ~ 3329
C. Li / 2010 / Three solutions for a Navier boundary value problem involving the p-bi- harmonic / Nonlinear Anal 72 (3) : 1339 ~ 1347
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