共查询到20条相似文献,搜索用时 31 毫秒
1.
Agnieszka Kaamajska Miroslav Krbec 《Journal of Mathematical Analysis and Applications》2010,362(2):460-470
We consider a triple of N-functions (M,H,J) that satisfy the Δ′-condition, and suppose that an additive variant of interpolation inequality holds where , is an arbitrary set invariant with respect to external and internal dilations. We show that the above inequality implies its certain nonlinear variant involving the expressions and . Various generalizations of this inequality to the more general class of N-functions, measures and to higher order derivatives are also discussed and the examples are presented. 相似文献
2.
Let denote the space of all holomorphic functions on the unit ball . This paper investigates the following integral-type operator with symbol where is the radial derivative of g. The boundedness and compactness of the operator Tg from Bloch-type spaces to Zygmund-type spaces are studied. 相似文献
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4.
Irena Rachnkov 《Journal of Mathematical Analysis and Applications》2006,320(2):611-618
We study singular boundary value problems with mixed boundary conditions of the form where , , f is a nonnegative function and satisfies the Carathéodory conditions on . Here, f can have a time singularity at t=0 and/or t=T and a space singularity at x=0 and/or y=0. We present conditions for the existence of solutions positive on [0,T) and having continuous first derivatives on [0,T]. 相似文献
5.
We consider the following nonlinear elliptic equation with singular nonlinearity: where α>β>1, a>0, and Ω is an open subset of , n2. Let uH1(Ω) with and be a nonnegative stationary solution. If we denote the zero set of u by we shall prove that the Hausdorff dimension of Σ is less than or equal to . 相似文献
6.
Thierry Cazenave Flvio Dickstein Fred B. Weissler 《Journal of Mathematical Analysis and Applications》2009,360(2):537-547
In this paper, we consider the nonlinear heat equation(NLH)
ut−Δu=|u|αu,