-
Singular phenomena in nonlinear elliptic problems : from blow-up boundary solutions to equations with singular nonlinearitiesRǎdulescu, Vicenţiu, 1958-In this survey we report on some recent results related to various singular phenomena arising in the study of some classes of nonlinear elliptic equations. We establish qualitative results on the ... existence, nonexistence or the uniqueness of solutions and we focus on the following types of problems: (i) blow-up boundary solutions of logistic equations; (ii) Lane-Emden- Fowler equations with singular nonlinearities and subquadratic convection term. We study the combined effects of various terms involved in these problems: sublinear or superlinear nonlinearities, singular nonlinear terms, convection nonlinearities, as well as sign-changing potentials. We also take into account bifurcation nonlinear problems and we establish the precise rate decay of the solution in some concrete situations. Our approach combines standard techniques based on the maximum principle with nonstandard arguments, such as the Karamata regular variation theory.Source: Handbook of differential equations. Vol. 4. Stationary partial differential equations (Str. 483-591)Type of material - article, component partPublish date - 2007Language - englishCOBISS.SI-ID - 15061593
Author
Rǎdulescu, Vicenţiu, 1958-
Topics
matematika |
parcialne diferencialne enačbe |
nelinearna eliptična enačba |
singularnost |
bifurkacija |
princip maksima |
mathematics |
partial differntial equatins |
nonlinear elliptic equation |
singularity |
boundary blow-up |
bifurcation |
asymptotic analysis |
maximum principle |
Karamata regular variation theory
Shelf entry
Permalink
- URL:
Impact factor
Access to the JCR database is permitted only to users from Slovenia. Your current IP address is not on the list of IP addresses with access permission, and authentication with the relevant AAI accout is required.
Year | Impact factor | Edition | Category | Classification | ||||
---|---|---|---|---|---|---|---|---|
JCR | SNIP | JCR | SNIP | JCR | SNIP | JCR | SNIP |
Select the library membership card:
DRS, in which the journal is indexed
Database name | Field | Year |
---|
Links to authors' personal bibliographies | Links to information on researchers in the SICRIS system |
---|---|
Rǎdulescu, Vicenţiu, 1958- | 29964 |
Select pickup location:
Material pickup by post
Notification
Subject headings in COBISS General List of Subject Headings
Select pickup location
Pickup location | Material status | Reservation |
---|
Please wait a moment.