Interpolation theorems for rearrangement invariant $p$-spaces of functions, $0<p<1$, and some applications

Popa, Nicolae

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Integral equations of the first kind of Sonine type.

Samko, Stefan G., Cardoso, Rogério P. (2003)

International Journal of Mathematics and Mathematical Sciences

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Existence of solutions for a class of second-order $p$ -Laplacian systems with impulsive effects

Peng Chen, Xianhua Tang (2014)

Applications of Mathematics

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The purpose of this paper is to study the existence and multiplicity of a periodic solution for the non-autonomous second-order system $\begin{matrix} \frac{d}{d t} (| \dot{u} (t) |^{p - 2} \dot{u} (t)) = \nabla F (t, u (t)), a.e. t \in [0, T], \\ u (0) - u (T) = \dot{u} (0) - \dot{u} (T) = 0, \\ Δ {\dot{u}}^{i} (t_{j}) = {\dot{u}}^{i} (t_{j}^{+}) - {\dot{u}}^{i} (t_{j}^{-}) = I_{i j} (u^{i} (t_{j})), i = 1, 2, \dots, N; j = 1, 2, \dots, m . \end{matrix}$ By using the least action principle and the saddle point theorem, some new existence theorems are obtained for second-order $p$ -Laplacian systems with or without impulse under weak sublinear growth conditions, improving some existing results in the literature.

On extrapolation blowups in the $l_{p}$ scale.

Capone, Claudia, Fiorenza, Alberto, Krbec, Miroslav (2006)

Journal of Inequalities and Applications [electronic only]

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Nonsquareness in Musielak-Orlicz-Bochner function spaces.

Shang, Shaoqiang, Cui, Yunan, Fu, Yongqiang (2011)

Abstract and Applied Analysis

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Extreme points and rotundity in Musielak-Orlicz-Bochner function spaces endowed with Orlicz norm.

Shang, Shaoqiang, Cui, Yunan, Fu, Yongqiang (2010)

Abstract and Applied Analysis

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Generalizations of the Riemann-Lebesgue and Cantor-Lebesgue lemmas

Charles S. Kahane (1980)

Czechoslovak Mathematical Journal

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Displaying similar documents to “Interpolation theorems for rearrangement invariant p -spaces of functions, 0 < p < 1 , and some applications”

Integral equations of the first kind of Sonine type.

Existence of solutions for a class of second-order p -Laplacian systems with impulsive effects

On extrapolation blowups in the l p scale.

Nonsquareness in Musielak-Orlicz-Bochner function spaces.

Extreme points and rotundity in Musielak-Orlicz-Bochner function spaces endowed with Orlicz norm.

Generalizations of the Riemann-Lebesgue and Cantor-Lebesgue lemmas

Displaying similar documents to “Interpolation theorems for rearrangement invariant $p$ -spaces of functions, $0 < p < 1$ , and some applications”

Existence of solutions for a class of second-order $p$ -Laplacian systems with impulsive effects

On extrapolation blowups in the $l_{p}$ scale.