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RESEARCH PRODUCT
An Existence Result for Fractional Kirchhoff-Type Equations
Giovanni Molica BisciFrancesco Tulonesubject
Kirchhoff typeApplied MathematicsFractional equations010102 general mathematicsMathematical analysisvariational methodsVariational methodAnalysiCritical point result01 natural sciencesFractional equationsFractional equationFractional calculus010101 applied mathematicscritical point resultsSimultaneous equations0101 mathematicsFractional equations variational methods critical point resultsAnalysisMathematicsdescription
The aim of this paper is to study a class of nonlocal fractional Laplacian equations of Kirchhoff-type. More precisely, by using an appropriate analytical context on fractional Sobolev spaces, we establish the existence of one non-trivial weak solution for nonlocal fractional problems exploiting suitable variational methods.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2016-01-01 | Zeitschrift für Analysis und ihre Anwendungen |