SOLVABILITY FOR SOME DIRICHLET PROBLEM WITH P-LAPACIAN
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초록
We investigate the existence of the following Dirichlet boundary value problem (ju0jp¡2u0)0 + (p ¡ 1)[®ju+jp¡2u+ ¡ ¯ju¡jp¡2u¡] = (p ¡ 1)h(t);u(0) = u(T) = 0;where p > 1; ® > 0; ¯ > 0 and ®¡1p + ¯¡1p = 2; T = ¼p=®1p ; ¼p = 2¼p sin(¼=p) and h 2 L1(0; T). The results of this paper generalize some early results obtained in [8] and [9]. Moreover, the method used in this paper is elementary and new.
Abstract
We investigate the existence of the following Dirichlet boundary value problem (ju0jp¡2u0)0 + (p ¡ 1)[®ju+jp¡2u+ ¡ ¯ju¡jp¡2u¡] = (p ¡ 1)h(t);u(0) = u(T) = 0;where p > 1; ® > 0; ¯ > 0 and ®¡1p + ¯¡1p = 2; T = ¼p=®1p ; ¼p = 2¼p sin(¼=p) and h 2 L1(0; T). The results of this paper generalize some early results obtained in [8] and [9]. Moreover, the method used in this paper is elementary and new.
참고문헌 (11)
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