Geodesic
A priori estimates and solvability of a non-resonant generalized multi-point boundary value problem of mixed Dirichlet-Neumann-Dirichlet type involving a $p$-Laplacian type operator
Applications of Mathematics, Tome 52 (2007) no. 5, pp. 417-430

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This paper is devoted to the problem of existence of a solution for a non-resonant, non-linear generalized multi-point boundary value problem on the interval $[0,1]$. The existence of a solution is obtained using topological degree and some a priori estimates for functions satisfying the boundary conditions specified in the problem.
DOI : 10.1007/s10492-007-0024-3
Classification : 34B10, 34B15, 34L30, 47N20
Keywords: generalized multi-point boundary value problems; $p$-Laplace type operator; non-resonance; a priori estimates; topological degree 
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     title = {A priori estimates and solvability of a non-resonant generalized multi-point boundary value problem of mixed {Dirichlet-Neumann-Dirichlet} type involving a $p${-Laplacian} type operator},
     journal = {Applications of Mathematics},
     pages = {417--430},
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Gupta, Chaitan P. A priori estimates and solvability of a non-resonant generalized multi-point boundary value problem of mixed Dirichlet-Neumann-Dirichlet type involving a $p$-Laplacian type operator. Applications of Mathematics, Tome 52 (2007) no. 5, pp. 417-430. doi: 10.1007/s10492-007-0024-3

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