On the admissibility of function spaces of type \(B^ s_{p,q}\) and \(F^ s_{p,q}\), and boundary value problems for non-linear partial differential equations

DOI10.1007/BF01905928zbMath0654.35034MaRDI QIDQ1108473

Jens Franke, Thomas Runst

Publication date: 1987

Published in: Analysis Mathematica (Search for Journal in Brave)

zbMATH Keywords

Dirichlet problemexistencenonlinear elliptic boundary value problemsadmissibilityfunction spacesLeray-Schauder degreeapproximations of the identity

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 on infinite-dimensional (e.g., function) spaces (= PDEs in infinitely many variables) (35R15) Variational methods for higher-order elliptic equations (35J35)

Related Items (2)

Multiplicity results for semilinear elliptic boundary value problems in Besov and Triebel-Lizorkin spaces ⋮ Nonlinear perturbations of linear non-invertible boundary value problems in function spaces of type $B^s_{p,q}$ and $F^s_{p,q}$

Cites Work

• Shrinkable neighborhoods in Hausdorff linear spaces
• Para-differential operators in spaces of Triebel-Lizorkin and Besov type
• Mapping properties of nonlinear operators in spaces of Triebel-Lizorkin and Besov type
• Mapping Properties of Non-Linear Operators Generated by ϕ(u)=|u|^σ and by Holomorphic ϕ(u) in Function Spaces of Besov-Hardy-Sobolev Type Boundary Value Problems for Elliptic Differential Equations of Type δu=f (x) + ϕ(u)
• Remarks on Certain Non-Linear Elliptic Equations in Unbounded Domains
• On besov - hardy - sobolev spaces in domains and regular elliptic boundary value problems. the case
• On the Spaces of T<scp>riebel‐</scp>L<scp>izorkin</scp> Type: Pointwise Multipliers and Spaces on Domains
• Regular Elliptic Boundary Value Problems in Besov‐Triebel‐Lizorkin Spaces
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