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Exhaustive and uniformly exhaustive elements are studied in the setting of locally solid topological Riesz spaces with the principal projection property. We study the structure of the order interval [0,x] when x is an exhaustive element and the structure of the solid hull of a set of uniformly exhaustive elements.

Existence and analyticity of a parabolic evolution operator for nonautonomous linear equations in Banach spaces.

Munhoz, Antonio S., Filho, Antonio C.Souza (2009)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Existence and integral representation of regular extensions of measures

Werner Rinkewitz (2001)

Colloquium Mathematicae

Let ℒ be a δ-lattice in a set X, and let ν be a measure on a sub-σ-algebra of σ(ℒ). It is shown that ν extends to an ℒ-regular measure on σ(ℒ) provided ν*|ℒ is σ-smooth at ∅ and ν*(L) = inf ν*(U)|X ∖ U ∈ ℒ, Usupset L for all L ∈ ℒ. Moreover, a Choquet type representation theorem is proved for the set of all such extensions.

Existence and nonexistence results for a class of linear and semilinear parabolic equations related to some Caffarelli-Kohn-Nirenberg inequalities

Boumediene Abdellaoui, Eduardo Colorado, Ireneo Peral (2004)

Journal of the European Mathematical Society

In this work we study the problem $u_{t} {- div (| x |}^{- 2 γ} \nabla u) = λ \frac{u^{α}}{{| x |}^{2 (γ + 1)}} + f$ in $Ω \times (0, T)$ , $u \geq 0$ in $Ω \times (0, T)$ , $u = 0$ on $\partial Ω \times (0, T)$ , $u (x, 0) = u_{0} (x)$ in $Ω$ , $Ω \subset ℝ^{N}$ $(N \geq 2)$ is a bounded regular domain such that $0 \in Ω$ , $λ > 0$ , $α > 0$ , $- \infty < γ < (N - 2) / 2$ , $f$ and $u_{0}$ are positive functions such...

Existence and nonexistence results for anisotropic quasilinear elliptic equations

Ilaria Fragalà, Filippo Gazzola, Bernd Kawohl (2004)

Annales de l'I.H.P. Analyse non linéaire

Existence and regularity of minima for integral functionals noncoercive in the energy space

Lucio Boccardo, Luigi Orsina (1997)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Existence and stability of measure differential equations

Purna Candra Das, Rishi Ram Sharma (1972)

Czechoslovak Mathematical Journal

Existence and uniqueness results for solutions of nonlinear equations with right hand side in $L^{1}$

A. Fiorenza, C. Sbordone (1998)

Studia Mathematica

We prove an existence and uniqueness theorem for the elliptic Dirichlet problem for the equation div a(x,∇u) = f in a planar domain Ω. Here $f \in L^{1} (Ω)$ and the solution belongs to the so-called grand Sobolev space $W_{0}^{1, 2)} (Ω)$ . This is the proper space when the right hand side is assumed to be only $L^{1}$ -integrable. In particular, we obtain the exponential integrability of the solution, which in the linear case was previously proved by Brezis-Merle and Chanillo-Li.

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Exemples d’espaces $b$ -convexes non réflexifs, d’après James et Lindenstrauss

Exemples d'espaces de Banach ayant la propriété de projection uniforme

Exemples d'espaces de Banach ayant la propriété de projection uniforme

Exemples d'utilisation de la théorie des applications radonifiantes

Exhaustive measures in arbitrary topological vector spaces

Exhaustivity in Topological Riesz Spaces with the Principal Projection Property

Existence and analyticity of a parabolic evolution operator for nonautonomous linear equations in Banach spaces.

Existence and integral representation of regular extensions of measures

Existence and nonexistence results for a class of linear and semilinear parabolic equations related to some Caffarelli-Kohn-Nirenberg inequalities

Existence and nonexistence results for anisotropic quasilinear elliptic equations

Existence and regularity of minima for integral functionals noncoercive in the energy space

Existence and stability of measure differential equations

Existence and uniqueness results for solutions of nonlinear equations with right hand side in $L^{1}$

Existence et prolongement des solutions holomorphes des équations aux dérivées partielles

Existence for elliptic equations in $L^{1}$ having lower order terms with natural growth.

Existence of a multiplicative functional and joint spectra

Existence of bases and the dual splitting relation for Fréchet spaces

Existence of best approximations

Existence of Borel lifting

Existence of bounded solutions for nonlinear degenerate elliptic equations in Orlicz spaces.

Currently displaying 401 – 420 of 600