Multiple positive solutions of singular discrete -Laplacian problems via variational methods.

Agarwal, Ravi P.; Perera, Kanishka; O'Regan, Donal

Displaying similar documents to “Multiple positive solutions of singular discrete $p$ -Laplacian problems via variational methods.”

Construction of upper and lower solutions for singular discrete initial and boundary value problems via inequality theory.

Lü, Haishen, O'Regan, Donal (2005)

Advances in Difference Equations [electronic only]

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Existence theory for single and multiple solutions to semipositone discrete Dirichlet boundary value problems with singular dependent nonlinearities.

Jiang, Daqing, Zhang, Lili, O&#039;Regan, Donal, Agarwal, Ravi P. (2003)

Journal of Applied Mathematics and Stochastic Analysis

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Three solutions to Dirichlet boundary value problems for $p$ -Laplacian difference equations.

Jiang, Liqun, Zhou, Zhan (2008)

Advances in Difference Equations [electronic only]

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Existence theory for single and multiple solutions to singular positone discrete Dirichlet boundary value problems to the one-dimension $p$ -Laplacian

Daqing Jiang, Li Li Zhang, Donal O&#039;Regan, Ravi P. Agarwal (2004)

Archivum Mathematicum

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In this paper we establish the existence of single and multiple solutions to the positone discrete Dirichlet boundary value problem $\{\begin{matrix} Δ [φ (Δ u (t - 1))] + q (t) f (t, u (t)) = 0, t \in {1, 2, \dots, T} \\ u (0) = u (T + 1) = 0, \end{matrix}$ where $φ (s) = {| s |}^{p - 2} s$ , $p > 1$ and our nonlinear term $f (t, u)$ may be singular at $u = 0$ .

Three solutions for a discrete nonlinear Neumann problem involving the $p$ -Laplacian.

Candito, Pasquale, D'aguì, Giuseppina (2010)

Advances in Difference Equations [electronic only]

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Positive solutions for multiparameter semipositone discrete boundary value problems via variational method.

Yu, Jianshe, Zhu, Benshi, Guo, Zhiming (2008)

Advances in Difference Equations [electronic only]

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An existence principle for nonlocal difference boundary value problems with $ϕ$ -Laplacian and its application to singular problems.

Agarwal, Ravi P., O&#039;Regan, Donal, Stanêk, Svatoslav (2008)

Advances in Difference Equations [electronic only]

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Positive solutions of a singular positone and semipositone boundary value problems for fourth-order difference equations.

Yuan, Chengjun (2010)

Discrete Dynamics in Nature and Society

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Multiple positive solutions of singular $p$ -Laplacian problems by variational methods.

Perera, Kanishka, Zhang, Zhitao (2005)

Boundary Value Problems [electronic only]

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Triple solutions for a Dirichlet boundary value problem involving a perturbed discretep(k)-Laplacian operator

Mohsen Khaleghi Moghadam, Johnny Henderson (2017)

Open Mathematics

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Triple solutions are obtained for a discrete problem involving a nonlinearly perturbed one-dimensional p(k)-Laplacian operator and satisfying Dirichlet boundary conditions. The methods for existence rely on a Ricceri-local minimum theorem for differentiable functionals. Several examples are included to illustrate the main results.

Positive symmetric solutions of singular semipositone boundary value problems.

Rudd, Matthew, Tisdell, Christopher C. (2009)

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

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Displaying similar documents to “Multiple positive solutions of singular discrete p -Laplacian problems via variational methods.”

Displaying similar documents to “Multiple positive solutions of singular discrete $p$ -Laplacian problems via variational methods.”