Multiplicity Results for Kirchhoff Equations with Hardy-Littlewood-Sobolev Critical Nonlinearity
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DOI: 10.1007/s10883-019-09456-3
Abstract: In this paper, we deal with the multiplicity results for Kirchhoff equations with Hardy-Littlewood-Sobolev critical nonlinearity in ℝ N $\mathbb {R}^{N}$ . By using the second concentration-compactness principle and concentration-compactness principle at infinity to prove… read more here.
Keywords: equations hardy; hardy littlewood; littlewood sobolev; results kirchhoff ... See more keywords
On a class of Kirchhoff equations involving an anisotropic operator and potential
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DOI: 10.1007/s40065-020-00304-y
Abstract: In this work, we are concerned with a class of fractional equations of Kirchhoff type with potential. Using variational methods and a variant of quantitative deformation lemma, we prove the existence of a least energy… read more here.
Keywords: anisotropic operator; class kirchhoff; class; kirchhoff equations ... See more keywords
Positive solutions to Schrödinger-Kirchhoff equations with inverse potential
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DOI: 10.1080/17476933.2020.1843642
Abstract: This paper is concerned with the existence of positive solutions to Schrödinger-Kirchhoff-type equations where a and b are two positive constants, and is a potential function. Under certain assumptions on V, we prove that has… read more here.
Keywords: positive solutions; dinger kirchhoff; schr dinger; solutions schr ... See more keywords
Invariant relations for kirchhoff equations and the Kowalewski method
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DOI: 10.1134/s1028335817010013
Abstract: The Kowalewski exponents in the problem on the motion of a solid under the Chaplygin condition are calculated (when there is a velocity-linear invariant relation). The method of calculation uses the generalizing Ioshida theorems on… read more here.
Keywords: relations kirchhoff; equations kowalewski; kirchhoff equations; method ... See more keywords