where Ω ⊂ R is a smooth domain with smooth boundary ∂Ω such that 0 Î Ω, Δpu = div(|∇u|∇u), 1 < p < N, μ < μ̄ = ( N−p p ), l >0, 1 < q < p, sign-changing weight functions f and g are continuous functions on ̄, μ̄ = ( N−p p ) p is the best Hardy constant and p∗ = Np N−p is the critical Sobolev exponent. By extracting the Palais-Smale sequence in the Nehari manifold, the multiplicity of positive solu...

meet Bakhai, MD, MRCP,*† Gregg W. Stone, MD,‡ Elizabeth Mahoney, SCD,* Tara A. Lavelle, BA,* hunxue Shi, MS,* Ronna H. Berezin, MPH,* Betsy J. Lahue, MPH,§ Mary Ann Clark, MHA,§ ichael J. Lacey, MS,§ Mary E. Russell, MD,§ Stephen G. Ellis, MD, James B. Hermiller, MD,¶ avid A. Cox, MD,# David J. Cohen, MD, MSC,*** on behalf of the TAXUS-IV Investigators oston and Natick, Massachusetts; Barnet, E...

2 Software details 4 2.1 Installation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 2.2 File overview . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 2.3 Calling sequences . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 2.3.1 The initial point . . . . . . . . . . ....

We investigate non-existence of non-negative dead core solutions for the problem [Formula: see text] Here, is a bounded smooth domain, fully nonlinear elliptic operator, sign-changing weight, text], and text]. show that this has no nontrivial if either close enough to or negative part sufficiently small. In addition, we obtain existence uniqueness positive solution under these conditions on Our...

Managing user credential is a critical point in organization that has application island environment such as Diponegoro University. By so doing, application users will be helped to keep only one login information for entering those applications. Not changing login function in each application is the boundary that has been set when managing credentials. For this reason, indirectly single-sign-on...

where 1 < p < N+2 N−2 , N ≥ 3. It is well-known that this equation has a unique positive radial solution. The existence of sign-changing radial solutions with exactly k nodes is also known. However the uniqueness of such solutions is open. In this paper, we show that such sign-changing radial solution is unique when p is close to N+2 N−2 . Moreover, those solutions are non-degenerate, i.e., the...

In this article, we prove the existence of multiple solutions for following fractional Schrödinger-Poisson system with sign-changing potential (−∆)u+ V (x)u+ λφu = f(x, u), x ∈ R, (−∆)φ = u, x ∈ R, where (−∆)α denotes the fractional Laplacian of order α ∈ (0, 1), and the potential V is allowed to be sign-changing. Under certain assumptions on f , we obtain infinitely many solutions for this sys...

We obtain precise global bifurcation diagrams for both one-sign and sign-changing solutions of a semilinear elliptic equation, for the nonlinearity being asymptotically linear. Our method combines the bifurcation approach and spectral analysis.