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@article{2387817, author = {Gkikas, Konstantinos T. and Nguyen, PhuocandTai}, article_number = {1}, doi = {http://dx.doi.org/10.1112/jlms.12844}, keywords = {Hardy potentials; Critical exponents; Source terms; Capacities; Measure data}, language = {eng}, issn = {0024-6107}, journal = {Journal of the London Mathematical Society}, title = {Semilinear elliptic Schrödinger equations with singular potentials and absorption terms}, url = {https://www.sciencedirect.com/science/article/pii/S0362546X23001955}, volume = {109}, year = {2024} }
TY - JOUR ID - 2387817 AU - Gkikas, Konstantinos T. - Nguyen, Phuoc-Tai PY - 2024 TI - Semilinear elliptic Schrödinger equations with singular potentials and absorption terms JF - Journal of the London Mathematical Society VL - 109 IS - 1 SP - 1-53 EP - 1-53 PB - Wiley SN - 00246107 KW - Hardy potentials KW - Critical exponents KW - Source terms KW - Capacities KW - Measure data UR - https://www.sciencedirect.com/science/article/pii/S0362546X23001955 N2 - Let Ω⊂RN (N≥3) be a C2 bounded domain and Σ⊂Ω 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). ER -
GKIKAS, Konstantinos T. and Phuoc-Tai NGUYEN. Semilinear elliptic Schrödinger equations with singular potentials and absorption terms. \textit{Journal of the London Mathematical Society}. Wiley, 2024, vol.~109, No~1, p.~1-53. ISSN~0024-6107. Available from: https://dx.doi.org/10.1112/jlms.12844.
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