Trace imbeddings for \(T\)-sets and application to Neumann-Dirichlet problems with measures included in the boundary data

DOI10.5802/afst.835zbMath0874.35041OpenAlexW2327711651MaRDI QIDQ1355487

Andrée Decarreau, Jin Liang, Jean Michel Rakotoson

Publication date: 27 May 1997

Published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AFST_1996_6_5_3_443_0

zbMATH Keywords

existenceuniquenessrenormalized solutionSobolev-type imbeddings

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) PDEs with low regular coefficients and/or low regular data (35R05) Boundary values of solutions to elliptic equations and elliptic systems (35J67)

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Quasilinear elliptic problems with general growth and merely integrable, or measure, data, Uniqueness for Neumann problems for nonlinear elliptic equations, Homogenization of the brush problem with a source term in \(L^{1}\), Some refinements of the Hodge decomposition and applications, Well-posed elliptic Neumann problems involving irregular data and domains, Neumann problems for nonlinear elliptic equations with \(L^1\) data

Cites Work

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• Nonlinear elliptic equations in \(\mathbb{R}^ N\) without growth restrictions on the data
• A compactness lemma for elliptic problems with measures as data
• A compactness result for quasilinear problems: Application to parabolic equations with measures as data
• Nonlinear elliptic and parabolic equations involving measure data
• Quasilinear elliptic problems with measures as data
• Boundary singularities of solutions of some nonlinear elliptic equations
• Existence and regularity of renormalized solutions for some elliptic problems involving derivatives of nonlinear terms
• Generalized solutions in a new type of sets for problems with measures as data
• A co-area formula with applications to monotone rearrangement and to regularity
• Semi-linear second-order elliptic equations in \(L^1\)
• A P-laplacian problem in L¹with nonlinear boundary conditions
• Quelques résultats de Višik sur les problèmes elliptiques non linéaires par les méthodes de Minty-Browder