Solvability and smoothness of solution to variational Dirichlet problem in entire space associated with a non-coercive form

DOI10.13108/2020-12-1-13zbMath1463.35235OpenAlexW3017868512MaRDI QIDQ5138401

S. A. Iskhokov, Bakhtovar Abduganievich Rakhmonov

Publication date: 3 December 2020

Published in: Ufimskii Matematicheskii Zhurnal (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/ufa500

zbMATH Keywords

elliptic operatorsmoothness of solutionvariational Dirichlet problempower degenerationnoncoercive form

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Degenerate elliptic equations (35J70) Weak solutions to PDEs (35D30) Variational methods for higher-order elliptic equations (35J35)

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Cites Work

• Variational Dirichlet problem for degenerate elliptic operators generated by noncoercive forms
• Smoothness of solutions to the generalized Dirichlet problem and the eigenvalue problem for differential operators generated by noncoercive bilinear forms
• Separation theorems, weighted spaces and their applications
• Gårding's inequality for elliptic operators with degeneracy
• The variational Dirichlet problem for elliptic operators with nonpower degeneration generated by noncoercive bilinear forms
• On the variational Dirichlet problem for degenerate elliptic operators
• G{aa}rding inequality for higher order elliptic operators with a non-power degeneration and its applications
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