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Multiplicity and Concentration Behavior of Solutions to a Class of Fractional Kirchhoff Equation Involving Exponential Nonlinearity
This article deals with the following fractional \(\frac{N}{s}\) N ...
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Article
Cell-Free DNA in Plasma Reveals Genomic Similarity Between Biliary Tract Inflammatory Lesion and Biliary Tract Cancer
Similar clinical manifestations and imaging features between biliary tract inflammatory lesion (BTI) and biliary tract cancer (BTC) pose significant challenges for the management of BTC. To date, the molecular...
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Article
Multiplicity of solutions for the noncooperative Choquard-Kirchhoff system involving Hardy-Littlewood-Sobolev critical exponent on the Heisenberg group
In this paper, we concern with the following noncooperative Choquard-Kirchhoff system: $$\begin{aligned} \left\{ \begin{array}{lll} K(|\nabla ...
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Article
Open AccessThe Quartet Data Portal: integration of community-wide resources for multiomics quality control
The Quartet Data Portal facilitates community access to well-characterized reference materials, reference datasets, and related resources established based on a family of four individuals with identical twins ...
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Open AccessOn the noncooperative Schrödinger–Kirchhoff system involving the critical nonlinearities on the Heisenberg group
This paper deals with the existence of solutions for the noncooperative Schrödinger–Kirchhoff system involving the p-Laplacian operator and critical nonlinearities on the Heisenberg group. Under some suitable con...
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Article
Least-energy nodal solutions of critical Schrödinger-Poisson system on the Heisenberg group
In this paper, we study the existence of least-energy nodal (sign-changing) solutions for a class of critical Schrödinger-Poisson system on the Heisenberg group given by
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Article
Open AccessComprehensive microRNA-seq transcriptomic profiling across 11 organs, 4 ages, and 2 sexes of Fischer 344 rats
Rat is one of the most widely-used models in chemical safety evaluation and biomedical research. However, the knowledge about its microRNA (miRNA) expression patterns across multiple organs and various develop...
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Article
Open AccessHigh perturbations of a new Kirchhoff problem involving the p-Laplace operator
In the present work we are concerned with the existence and multiplicity of solutions for the following new Kirchhoff problem involving the p-Laplace operator:
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Article
Multiplicity Results for Kirchhoff Equations with Hardy-Littlewood-Sobolev Critical Nonlinearity
In this paper, we deal with the multiplicity results for Kirchhoff equations with Hardy-Littlewood-Sobolev critical nonlinearity in ...
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Article
Existence and Multiplicity Solutions for the \(p\)-Fractional Schrödinger–Kirchhoff Equations with Electromagnetic Fields and Critical Nonlinearity
This paper is devoted to the study of the p\(p\)-fractional Schrödinger–Kirchhoff equations with electromagnetic fields and critical nonlinearity. By using the variational methods, we obtain the existence of mounta...
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Article
Infinitely many solutions for Kirchhoff equations with Hardy–Littlewood–Sobolev critical nonlinearity
In this paper we study a class of Kirchhoff equations with Hardy–Littlewood–Sobolev critical nonlinearity. By using the second concentration compactness principle together with Kajikiya’s new version of the sy...
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Article
Open AccessLong noncoding RNA CCDC144NL-AS1 knockdown induces naïve-like state conversion of human pluripotent stem cells
Human naïve pluripotency state cells can be derived from direct isolation of inner cell mass or primed-to-naïve resetting of human embryonic stem cells (hESCs) through different combinations of transcription f...
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Article
On a Degenerate p-Fractional Kirchhoff Equations Involving Critical Sobolev–Hardy Nonlinearities
In this paper, we study a class of degenerate p-fractional Kirchhoff equations with critical Hardy–Sobolev nonlinearities. By means of the Kajikiya’s new version of the symmetric mountain pass lemma, we obtain th...
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Article
Existence of infinitely many solutions for degenerate p-fractional Kirchhoff equations with critical Sobolev–Hardy nonlinearities
In this paper, we study a class of degenerate p-fractional Kirchhoff equations with critical Hardy–Sobolev nonlinearities $$\begin{ali...
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Article
Multiplicity of Solutions for Fourth-Order Elliptic Equations of Kirchhoff Type with Critical Exponent
In this paper, we deal with fourth-order elliptic equations of Kirchhoff type with critical exponent in bounded domains, the new results about existence, and multiplicity of solutions are obtained by using the...
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Article
Open AccessMultiplicity of solutions for elliptic problems of p-Kirchhoff type with critical exponent
In this paper we consider a class of elliptic problems of p-Kirchhoff type with critical exponent in bounded domains and new results as regards the existence and multiplicity of solutions are obtained by using th...
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Article
Open AccessMultiplicity of solutions of perturbed Schrödinger equation with electromagnetic fields and critical nonlinearity in
In this paper, we deal with the existence and multiplicity of solutions for perturbed Schrödinger equation with electromagnetic fields and critical nonlinearity in
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Open AccessMultiplicity of solutions for Kirchhoff-type problems involving critical growth
In this paper, by using the concentration-compactness principle and the variational method, we obtain a multiplicity result for Kirchhoff-type problems involving critical growth in bounded domains.
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Article
Open AccessExistence and uniqueness of positive solutions to boundary value problem with increasing homeomorphism and positive homomorphism operator
In this paper, we consider the following nonlinear boundary value problem: ( φ ...
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Article
Existence and uniqueness of positive solutions to nonlinear fractional differential equation with integral boundary conditions
In this paper, we consider the following nonlinear fractional three-point boundary-value problem: $$ \begin{array}{*{20}{c}} {D_{0 + }...