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Strong resonance for some quasilinear elliptic equations

Citace: [] BOUCHALA, J., DRÁBEK, P. Strong resonance for some quasilinear elliptic equations. Journal of Mathematical Analysis and Applications, 2000, roč. 245, č. 1, s. 7-19.
Druh: ČLÁNEK
Jazyk publikace: eng
Anglický název: Strong resonance for some quasilinear elliptic equations
Rok vydání: 2000
Autoři: Jiří Bouchala , Pavel Drábek
Abstrakt EN: We study the existence of the weak solutions of the nonlinear boundary value problem -\Delta_p u = \lambda_1|u|^{p-2} u + g(u) -h(x) in \Omega, u=0 on \partial \Omega, where the nonlinearity g is of the Landesman-Lazer type. Our sufficient conditions generalize all previously published results about the strong resonance at the first eigenvalue.
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