Publication details
Semilinear elliptic Schrödinger equations with singular potentials and absorption terms
| Authors | |
|---|---|
| Year of publication | 2024 |
| Type | Article in Periodical |
| Magazine / Source | Journal of the London Mathematical Society |
| MU Faculty or unit | |
| Citation | |
| web | https://www.sciencedirect.com/science/article/pii/S0362546X23001955 |
| Doi | https://doi.org/10.1112/jlms.12844 |
| Keywords | Hardy potentials; Critical exponents; Source terms; Capacities; Measure data |
| Description | Let ??RN (N?3) be a C2 bounded domain and ??? be a compact, C2 submanifold without boundary, of dimension k with 0?k1, we show that problem (P) admits several critical exponents in the sense that singular solutions exist in the subcritical cases (i.e. p is smaller than a critical exponent) and singularities are removable in the supercritical cases (i.e. p is greater than a critical exponent). Finally, we establish various necessary and sufficient conditions expressed in terms of appropriate capacities for the solvability of (P). |
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