Existence and convergence of positive weak solutions of -Δu= {Mathematical expression} in bounded domains of ℝn, n≥3

Frank Pacard

doi:10.1007/BF01191296

Existence and convergence of positive weak solutions of -Δu= {Mathematical expression} in bounded domains of ℝⁿ, n≥3

Frank Pacard

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

For the equation -Δu= {Mathematical expression} in Ω ⊂ℝⁿ we prove the existence of positive weak solutions with prescribed singular set. We also prove the existence of sequences of weak solutions which converge weakly but not strongly in L^n/n-2(Ω)

langue originale	Anglais
Pages (de - à)	243-265
Nombre de pages	23
journal	Calculus of Variations and Partial Differential Equations
Volume	1
Numéro de publication	3
Les DOIs	https://doi.org/10.1007/BF01191296
état	Publié - 1 août 1993

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10.1007/BF01191296

Contient cette citation

@article{d4d49f8a8b0d47628f6aa9c7655b8762,

title = "Existence and convergence of positive weak solutions of -Δu= \{Mathematical expression\} in bounded domains of ℝn, n≥3",

abstract = "For the equation -Δu= \{Mathematical expression\} in Ω ⊂ℝn we prove the existence of positive weak solutions with prescribed singular set. We also prove the existence of sequences of weak solutions which converge weakly but not strongly in Ln/n-2(Ω)",

keywords = "Mathematics subject classification: 35J60, (35J20, 53A30)",

author = "Frank Pacard",

year = "1993",

month = aug,

day = "1",

doi = "10.1007/BF01191296",

language = "English",

volume = "1",

pages = "243--265",

journal = "Calculus of Variations and Partial Differential Equations",

issn = "0944-2669",

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T1 - Existence and convergence of positive weak solutions of -Δu= {Mathematical expression} in bounded domains of ℝn, n≥3

AU - Pacard, Frank

PY - 1993/8/1

Y1 - 1993/8/1

N2 - For the equation -Δu= {Mathematical expression} in Ω ⊂ℝn we prove the existence of positive weak solutions with prescribed singular set. We also prove the existence of sequences of weak solutions which converge weakly but not strongly in Ln/n-2(Ω)

AB - For the equation -Δu= {Mathematical expression} in Ω ⊂ℝn we prove the existence of positive weak solutions with prescribed singular set. We also prove the existence of sequences of weak solutions which converge weakly but not strongly in Ln/n-2(Ω)

KW - Mathematics subject classification: 35J60, (35J20, 53A30)

U2 - 10.1007/BF01191296

DO - 10.1007/BF01191296

M3 - Article

AN - SCOPUS:0000617144

SN - 0944-2669

VL - 1

SP - 243

EP - 265

JO - Calculus of Variations and Partial Differential Equations

JF - Calculus of Variations and Partial Differential Equations

IS - 3

ER -

Existence and convergence of positive weak solutions of -Δu= {Mathematical expression} in bounded domains of ℝn, n≥3

Résumé

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Contient cette citation

Existence and convergence of positive weak solutions of -Δu= {Mathematical expression} in bounded domains of ℝⁿ, n≥3