论文信息 - Boundedness of solutions of nonlinear p-Laplacian - 字舞流文

Boundedness of solutions of nonlinear p-Laplacian

In this paper, we prove the boundedness of all the solutions for the p-Laplacian (@f"p(x^'))^'+g(x)=e(t), where @f"p(u)=|u|^p^-^2u, p>=2, g satisfies some subquasilinear conditions and e(t)@?C^6(R/Z).

Xiaojing Yang | Xiaojing Yang

[1] Tassilo Küpper,et al. Existence of quasiperiodic solutions and Littlewood's boundedness problem of Duffing equations with subquadratic potentials , 1999 .

[2] J. Moser. On invariant curves of area-preserving mappings of an anulus , 1962 .

[3] Xiaojing Yang,et al. Boundedness in Nonlinear Asymmetric Oscillations , 2002 .

[4] Manuel del Pino,et al. MULTIPLE SOLUTIONS FOR THE p-LAPLACIAN UNDER GLOBAL NONRESONANCE , 1991 .

[5] J. Littlewood. Some problems in real and complex analysis , 1968 .

[6] BIN LIU. ON LITTLEWOOD’S BOUNDEDNESS PROBLEM FOR SUBLINEAR DUFFING EQUATIONS , 2001 .

[7] J You. BOUNDEDNESS FOR SOLUTIONS OF SUPERLINEAR DUFFING EQUATIONS VIA THE TWIST THEOREM , 1992 .

[8] Xiong Li,et al. Boundedness of Solutions for Duffing's Equations with Semilinear Potentials , 2001 .

[9] E. Zehnder,et al. Boundedness of solutions via the twist-theorem , 1987 .

[10] Mark Levi,et al. Quasiperiodic motions in superquadratic time-periodic potentials , 1991 .

[11] G. R. Morris. A case of boundedness in Littlewood's problem on oscillatory differential equations , 1976, Bulletin of the Australian Mathematical Society.