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
elliptic operatorsmoothness of solutionvariational Dirichlet problempower degenerationnoncoercive form
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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