Multiplicity of positive solutions for fractional elliptic systems involving sign-changing weight (Q1633704)

scientific article; zbMATH DE number 6996313

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English	Multiplicity of positive solutions for fractional elliptic systems involving sign-changing weight	scientific article; zbMATH DE number 6996313

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instance of

scholarly article

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title

Multiplicity of positive solutions for fractional elliptic systems involving sign-changing weight (English)

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author

Haining Fan

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published in

Boundary Value Problems

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publication date

20 December 2018

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zbMATH Keywords

fractional elliptic system

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multiple positive solutions

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1186/s13661-017-0870-1

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cites work

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Nehari manifold for non-local elliptic operator with concave-convex nonlinearities and sign-changing weight functions

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The Nehari manifold for nonlocal elliptic operators involving concave-convex nonlinearities

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The Nehari manifold for fractional systems involving critical nonlinearities

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Multiple positive solutions for fractional elliptic systems involving sign-changing weight

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The Nehari manifold for a fractional $p$-Laplacian system involving concave-convex nonlinearities

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Ground state solutions for fractional Schrödinger equations with critical Sobolev exponent

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A multiplicity result via Ljusternick-Schnirelmann category and Morse theory for a fractional Schrödinger equation in $\mathbb{R}^N$

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Existence and concentration result for the fractional Schrödinger equations with critical nonlinearities

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Minimax theorems

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On some critical problems for the fractional Laplacian operator

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An Extension Problem Related to the Fractional Laplacian

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Improved Sobolev embeddings, profile decomposition, and concentration-compactness for fractional Sobolev spaces

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Positive solutions of nonhomogeneous fractional Laplacian problem with critical exponent

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Multiple positive solutions to nonlinear Schrödinger equations with competing potential functions

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Regularity of the obstacle problem for a fractional power of the laplace operator

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Multiple positive solutions of some elliptic problems via the Morse theory and the domain topology

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Identifiers

zbMATH Open document ID

1404.35173

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Mathematics Subject Classification ID

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10.1186/S13661-017-0870-1

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Sitelinks

Mathematics(1 entry)

mardi Publication:1633704