Positive solutions of critical quasilinear elliptic equations in $R ^N$

Paul A. Binding; Pavel Drábek; Yin Xi Huang

Displaying similar documents to “Positive solutions of critical quasilinear elliptic equations in $R^{N}$ ”

Linear integral equations in the space of regulated functions

Milan Tvrdý (1998)

Mathematica Bohemica

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n this paper we investigate systems of linear integral equations in the space $𝔾_{L}^{n}$ of $n$ -vector valued functions which are regulated on the closed interval $[0, 1]$ (i.e. such that can have only discontinuities of the first kind in $[0, 1]$ ) and left-continuous in the corresponding open interval $(0, 1) .$ In particular, we are interested in systems of the form x(t) - A(t)x(0) - 01B(t,s)[d x(s)] = f(t), where $f \in 𝔾_{L}^{n}$ , the columns of the $n \times n$ -matrix valued function $A$ belong to $𝔾_{L}^{n}$ , the entries of $B (t, .)$ have a bounded variation...

Upper and lower solutions for singularly perturbed semilinear Neumann's problem

Róbert Vrábeľ (1997)

Mathematica Bohemica

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The paper establishes sufficient conditions for the existence of solutions of Neumann’s problem for the differential equation $μ y " + k y = f (t, y)$ which tend to the solution of the reduced problem $k y = f (t, y)$ on $[0, 1]$ as $μ \to 0 .$

On pointwise interpolation inequalities for derivatives

Vladimir G. Maz&#039;ya, Tatjana Olegovna Shaposhnikova (1999)

Mathematica Bohemica

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Pointwise interpolation inequalities, in particular, ku(x)c(Mu(x)) 1-k/m (Mmu(x))k/m, k<m, and |Izf(x)|c (MIf(x))Re z/Re (Mf(x))1-Re z/Re , 0<Re z<Re<n, where $\nabla_{k}$ is the gradient of order $k$ , $ℳ$ is the Hardy-Littlewood maximal operator, and $I_{z}$ is the Riesz potential of order $z$ , are proved. Applications to the theory of multipliers in pairs of Sobolev spaces are given. In particular, the maximal algebra in the multiplier space $M (W_{p}^{m} (ℝ^{n}) \to W_{p}^{l} (ℝ^{n}))$ is described.

Magic powers of graphs

Marián Trenkler, Vladimír Vetchý (1997)

Mathematica Bohemica

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Necessary and sufficient conditions for a graph $G$ that its power $G^{i}$ , $i \geq 2$ , is a magic graph and one consequence are given.

Displaying similar documents to “Positive solutions of critical quasilinear elliptic equations in R N ”

Linear integral equations in the space of regulated functions

Upper and lower solutions for singularly perturbed semilinear Neumann's problem

On pointwise interpolation inequalities for derivatives

Magic powers of graphs

Displaying similar documents to “Positive solutions of critical quasilinear elliptic equations in $R^{N}$ ”