Localized Radial Solutions for Nonlinear p-Laplacian Equation in RN

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We establish the existence of radial solutions to the p-Laplacian equation ∆p u + f(u)=0 in RN, where f behaves like |u|q-1 u when u is large and f(u) < 0 for small positive u. We show that for each nonnegative integer n, there is a localized solution u which has exactly n zeros. Also, we look for radial solutions of a superlinear Dirichlet problem in a ball. We show that for each nonnegative integer n, there is a solution u which has exactly n zeros. Here we give an alternate proof to that which was given by Castro and ... continued below

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Pudipeddi, Sridevi May 2008.

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  • Pudipeddi, Sridevi

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We establish the existence of radial solutions to the p-Laplacian equation ∆p u + f(u)=0 in RN, where f behaves like |u|q-1 u when u is large and f(u) < 0 for small positive u. We show that for each nonnegative integer n, there is a localized solution u which has exactly n zeros. Also, we look for radial solutions of a superlinear Dirichlet problem in a ball. We show that for each nonnegative integer n, there is a solution u which has exactly n zeros. Here we give an alternate proof to that which was given by Castro and Kurepa.

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  • May 2008

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  • Oct. 2, 2008, 4:45 p.m.

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  • Oct. 31, 2008, 2:47 p.m.

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Pudipeddi, Sridevi. Localized Radial Solutions for Nonlinear p-Laplacian Equation in RN, dissertation, May 2008; Denton, Texas. (digital.library.unt.edu/ark:/67531/metadc6059/: accessed November 18, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; .