Back to Search
Start Over
Measure data problems for a class of elliptic equations with mixed absorption-reaction
- Source :
- Advanced Nonlinear Studies, Advanced Nonlinear Studies, Walter de Gruyter GmbH, 2021, 21 (2), pp.261-280
- Publication Year :
- 2021
- Publisher :
- HAL CCSD, 2021.
-
Abstract
- We study the existence of nonnegative solutions to the Dirichlet problem $\CL^{_{^M}}_{p,q}u:=-\Delta u+u^p-M|\nabla u|^q=\mu$ in a domain $\Omega\subset\BBR^N$ where $\mu$ is a nonnegative Radon measure, when $p>1$, $q>1$ and $M\geq 0$. We also give conditions under which nonnegative solutions of $\CL^{_{^M}}_{p,q}u=0$ in $\Omega\setminus K$ where $K$ is a compact subset of $\Omega$ can be extended as a solution of the same equation in $\Omega$<br />Comment: 26 pages
- Subjects :
- Class (set theory)
General Mathematics
2010 Mathematics Subject Classification: 35J62-35J66-31C15-28A12 Elliptic equations
01 natural sciences
Measure (mathematics)
Combinatorics
Bessel capacities
Mathematics - Analysis of PDEs
FOS: Mathematics
[MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP]
Absorption (logic)
0101 mathematics
Mathematics
Dirichlet problem
Riesz potential
010102 general mathematics
35J62-35J66-31C15-28A12
Statistical and Nonlinear Physics
010101 applied mathematics
Radon measure
Gravitational singularity
Maximal function
singularities
maximal functions
Analysis of PDEs (math.AP)
Subjects
Details
- Language :
- English
- ISSN :
- 15361365
- Database :
- OpenAIRE
- Journal :
- Advanced Nonlinear Studies, Advanced Nonlinear Studies, Walter de Gruyter GmbH, 2021, 21 (2), pp.261-280
- Accession number :
- edsair.doi.dedup.....90100fac3e44d1b2f8cdfb80cd5f6741