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The Brezis–Nirenberg problem for the fractional p-Laplacian
We obtain nontrivial solutions to the Brezis–Nirenberg problem for the fractional p-Laplacian operator, extending some results in the literature for the fractional Laplacian. The quasilinear caseExpand
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FIRST-PRINCIPLES CALCULATIONS OF MECHANICAL PROPERTIES OF TIC AND TIN
Abstract First-principles calculations are performed to investigate the elastic properties and hardness of TiC and TiN. The calculated elastic constants for TiC agree closely with the experimentalExpand
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Existence and multiple solutions for a nonlinear system with a parameter
Abstract In this paper, the critical point theory and the Morse theory are employed to discuss the system of nonlinear equations of the form A u = λ f ( u ) , where the matrix A is not necessarilyExpand
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Real-time tracking of phytochrome's orientational changes during Pr photoisomerization.
Photoisomerization of a protein bound chromophore is the basis of the light sensing and signaling responses of many photoreceptors. Z-to-E photoisomerization of the Pr Cph1Δ2 phytochrome has beenExpand
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Existence of solutions for some fourth-order boundary value problems with parameters
Abstract In this paper, existence and multiplicity results for solutions are obtained for the fourth-order boundary value problem ( BVP ) u ( 4 ) ( t ) + η u ″ ( t ) − ξ u ( t ) = λ f ( t , u ( t ) )Expand
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Assignment of aluminum corroles absorption bands to electronic transitions by femtosecond polarization resolved VIS-pump IR-probe spectroscopy.
We combine femtosecond polarization resolved VIS-pump IR-probe spectroscopy with DFT and TD-DFT calculations to identify and assign absorption bands to electronic transitions for corroles. TheseExpand
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Existence results for a nonlinear system with a parameter
Abstract In this paper, the monotone operator principle, the critical point theory and the morse theory are employed to discuss the system of nonlinear equations of the form A u = λ f ( u ) , someExpand
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Positive and negative solutions of a class of nonlocal problems
Abstract The existence of nontrivial solutions of Kirchhoff type equations is an important nonlocal quasilinear problem. In this paper, still by using the invariant sets of descent flow, we obtainExpand
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Relation between Kirkendall voids and intermetallic compound layers in the SnAg/Cu solder joints
Several different kinds of intermetallic compound (IMC) layers were fabricated through adding trace elements into the Sn-3.5Ag solder, to investigate the relationship between the Kirkendall void (KV)Expand
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Existence of infinitely many mountain pass solutions for some fourth-order boundary value problems with a parameter
Abstract In this paper, for the fourth-order boundary value problem (BVP)  u ( 4 ) ( t ) + η u ″ ( t ) + η 2 4 u ( t ) = f ( t , u ( t ) ) , 0 t 1 , u ( 0 ) = u ( 1 ) = u ″ ( 0 ) = u ″ ( 1 ) = 0 ,Expand
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