Publication details
Existence and uniqueness of large solutions of a degenerate and/or singular semilinear elliptic problem
| Authors | |
|---|---|
| Year of publication | 2025 |
| Type | Article in Periodical |
| Magazine / Source | Partial Differential Equations and Applications |
| MU Faculty or unit | |
| Citation | |
| web | https://doi.org/10.1007/s42985-025-00333-2 |
| Doi | https://doi.org/10.1007/s42985-025-00333-2 |
| Keywords | Existence and uniqueness; Large solution; Semilinear elliptic PDE; Boundary value problem; Sub- and super solution; Degenerate or singular problem |
| Description | We show an existence and a uniqueness result for large solution to a degenerate and/or singular semilinear elliptic problem with its blow-up rate which is influenced by the degeneracy or singularity. It has been proved by showing, however of independent interest, an existence and a uniqueness of a weak solution of a degenerate and/or singular semilinear elliptic boundary value (nonhomogeneous) problem by penalty method for given weak sub- and supersolution. |
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