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Existence and multiplicity results for some superlinear elliptic problems on RN
We study the semilinear elliptic PDE in RN The nonlinearity ƒ will be superlinear and subcritical. We prove the existence 0f a positive solution under various hypotheses on b. If and ƒ is odd in u,...
Nitric oxide: a key mediator in the early and late phase of carrageenan‐induced rat paw inflammation
  • Daniela Salvemini, Zhi-Qiang Wang, +4 authors M. Currie
  • Chemistry, Medicine
  • British journal of pharmacology
  • 1 June 1996
The results suggest that the NO produced by cNOS is involved in the development of inflammation at early time points following carrageenan administration and that No2−/NO3− or PGE2 production in the paw exudate is involvedin the maintenance of the inflammatory response at later time points. Expand
On the Caffarelli-Kohn-Nirenberg inequalities: Sharp constants, existence (and nonexistence), and symmetry of extremal functions †
Consider the following inequalities due to Caffarelli, Kohn, and Nirenberg [6] where, for N ≥ 3, −∞ < a < (N − 2)/2, a ≤ b ≤ a + 1, and p = 2N/(N − 2 + 2(b − a)). We shall answer someExpand
Update on Mechanism and Catalytic Regulation in the NO Synthases*
Soliton solutions for quasilinear Schrödinger equations, II
Abstract For a class of quasilinear Schrodinger equations, we establish the existence of ground states of soliton-type solutions by a variational method.
On a superlinear elliptic equation
In this note we establish multiple solutions for a semilinear elliptic equation with superlinear nonlinearility without assuming any symmetry.
Ground state of scalar field equations involving a fractional Laplacian with general nonlinearity
This paper focuses on the following scalar field equation involving a fractional Laplacian: where N ≥ 2, α ∈ (0, 1), (−Δ)α stands for the fractional Laplacian. Using some minimax arguments, we obtainExpand
On the Ambrosetti-Rabinowitz Superlinear Condition
Abstract We present various results on multiple solutions for superlinear elliptic equations in a bounded domain or in the whole space. With a Nehari type condition assumed, we show that the standardExpand
A Newly Identified Role for Superoxide in Inflammatory Pain
A critical role for superoxide is unraveled in the nociceptive signaling cascade both peripherally and centrally and the discovery of this pathway opens a new therapeutic strategy for the development of novel nonnarcotic antihyperalgesic agents. Expand
Standing Waves with a Critical Frequency for Nonlinear Schrödinger Equations
Abstract This paper is concerned with the existence and qualitative property of standing wave solutions for the nonlinear Schrödinger equation with E being a critical frequency in the sense that . WeExpand