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On some nonlinear extensions of the Gagliardo-Nirenberg inequality with applications to nonlinear eigenvalue problems

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Publication:2891102
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zbMath1256.26017arXiv1104.1967MaRDI QIDQ2891102

Agnieszka Kałamajska, Jan Peszek

Publication date: 13 June 2012

Full work available at URL: https://arxiv.org/abs/1104.1967


zbMATH Keywords

Gagliardo-Nirenberg\ inequalitiesinterpolation\ inequalitiesnonlinear\ eigenvalue\ problem


Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Inequalities for sums, series and integrals (26D15)


Related Items (5)

Some regularity results to the generalized Emden–Fowler equation with irregular data ⋮ Discrete Cucker--Smale Flocking Model with a Weakly Singular Weight ⋮ On certain generalizations of the Gagliardo-Nirenberg inequality and their applications to capacitary estimates and isoperimetric inequalities ⋮ On certain variant of strongly nonlinear multidimensional interpolation inequality ⋮ On one variant of strongly nonlinear Gagliardo-Nirenberg inequality involving Laplace operator with application to nonlinear elliptic problems




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