论文信息 - On the solvability of the higher order elliptic boundary value problem

On the solvability of the higher order elliptic boundary value problem

Abstract In this paper, by employing a non-variational version of a max–min principle, new results on existence and uniqueness of generalized solution to the boundary value problem of higher order elliptic partial differential equations at resonance are given.

Ravi P. Agarwal | Jinhai Chen | Jinhai Chen | R. Agarwal

[1] S. Tersian. A mini max theorem and applications to nonresonance problems for semilinear equations , 1986 .

[2] A. Lazer,et al. On saddle point problems in the calculus of variations, the Ritz algorithm, and monotone convergence , 1975 .

[3] Li Weiguo,et al. Periodic solutions for 2kth order ordinary differential equations with resonance , 2001 .

[4] M. N. Nkashama,et al. Nonlinear elliptic partial differential equations at resonance: higher eigenvalues , 1995 .

[5] A. Lazer,et al. NONLINEAR PERTURBATIONS OF LINEAR ELLIPTIC BOUNDARY VALUE PROBLEMS AT RESONANCE , 1969 .

[6] R. Manásevich. A Min Max theorem , 1982 .

[7] Raúl Manásevich,et al. A non variational version of a max-min principle , 1983 .

[8] F. Zanolin,et al. Resonance at two consecutive eigenvalues for semilinear elliptic equations , 1993 .

[9] P. Bassanini,et al. Elliptic Partial Differential Equations of Second Order , 1997 .

[10] J. Mawhin,et al. Nonresonance and existence for nonlinear elliptic boundary value problems , 1981 .