First order interpolation inequalities with weights

 Access to full text

 Full (PDF)

1. [1] J. Scott Bradley: Hardy inequalities with mixed norms. Canad. Math Bull21 (1978) 405-408. Zbl0402.26006MR523580
2. [2] L. Caffarelli, R. Kohn and L. Nirenberg: Partial regularity of suitable weak solutions of the Navier-Stokes equations. Comm. Pure Appl. Math, 35 (1982) 771-831. Zbl0509.35067MR673830
3. [3] E. Gagliardo: Ulteriori proprietà di alcune classi di funzioni in più variabili. Ricerche di Mat. Napoli8 (1959) 24-51. Zbl0199.44701MR109295
4. [4] G.H. Hardy, J.E. Littlewood and G. Polya: Inequalities. Cambridge: Cambridge University Press (1952). MR46395JFM60.0169.01
5. [5] C.S. Lin: Interpolation inequalities with weighted norms, to appear. 
6. [6] B. Muckenhoupt: Hardy's inequality with weights. Studia Math.34 (1972) 31-38. Zbl0236.26015MR311856
7. [7] B. Muckenhoupt and R. Wheeden: Weighted norm inequalities for fractional integrals. Trans. Amer. Math. Soc.192 (1974) 261-274. Zbl0289.26010MR340523
8. [8] L. Nirenberg: On elliptic partial differential equations. Ann. di Pisa9 (1959) 115-162. Zbl0088.07601MR109940

1. N. Ghoussoub, X. S. Kang, Hardy–Sobolev critical elliptic equations with boundary singularities
2. Jean Dolbeault, Maria J. Esteban, Gabriella Tarantello, The role of Onofri type inequalities in the symmetry properties of extremals for Caffarelli-Kohn-Nirenberg inequalities, in two space dimensions
3. Jing Mao, Functional inequalities and manifolds with nonnegative weighted Ricci curvature
4. Sayyed Hashem Rasouli, A population biological model with a singular nonlinearity
5. Jaeyoung Byeon, Zhi-Qiang Wang, Standing waves for nonlinear Schrödinger equations with singular potentials
6. Paolo Caldiroli, Roberta Musina, Stationary states for a two-dimensional singular Schrödinger equation
7. Jianqing Chen, On the inhomogeneous nonlinear Schrödinger equation with harmonic potential and unbounded coefficient
8. Florin Catrina, Zhi-Qiang Wang, Positive bound states having prescribed symmetry for a class of nonlinear elliptic equations in RN
9. Boumediene Abdellaoui, Ireneo Peral, The equation $-\Delta 𝑢-\lambda {\displaystyle \frac{𝑢}{{\left|𝑥\right|}^{\mathbf{2}}}}={\left|\nabla 𝑢\right|}^{𝑝}+𝑐𝑓\left(𝑥\right)$: The optimal power
10. Patrizia Pucci, Raffaella Servadei, Existence, non-existence and regularity of radial ground states for p-laplacian equations with singular weights