Neumann problems of superlinear elliptic systems at resonance
We prove existence of weak solutions of Neumann problem of nonhomogeneous elliptic system with asymmetric nonlinearities that may resonant at −∞ and superlinear at +∞. The proof is based on Mawhin’s coincidence theory and the product formula of Brouwer degree.
Elmentve itt :
| Szerzők: | |
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| Dokumentumtípus: | Folyóirat |
| Megjelent: |
2022
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| Sorozat: | Electronic journal of qualitative theory of differential equations
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| Kulcsszavak: | Differenciálegyenlet |
| Tárgyszavak: | |
| doi: | 10.14232/ejqtde.2022.1.8 |
| Online Access: | http://acta.bibl.u-szeged.hu/75823 |
| Tartalmi kivonat: | We prove existence of weak solutions of Neumann problem of nonhomogeneous elliptic system with asymmetric nonlinearities that may resonant at −∞ and superlinear at +∞. The proof is based on Mawhin’s coincidence theory and the product formula of Brouwer degree. |
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| Terjedelem/Fizikai jellemzők: | 9 |
| ISSN: | 1417-3875 |