Singular Hamiltonian elliptic systems involving double exponential growth in dimension two
In this research, we are interested to investigate the existence of nontrivial weak solutions to the following Hamiltonian elliptic system −div(ω(x)∇u)=g(v)|x|a,x∈B1(0),−div(ω(x)∇v)=f(u)|x|b,x∈B1(0),with Dirichlet boundary conditions, where a,b∈[0,2), the weight ω(x) is of logarithmic type and the n...
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| Materiálatiipa: | Artihkal |
| Giella: | English |
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Elsevier
2024-06-01
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| Ráidu: | Partial Differential Equations in Applied Mathematics |
| Fáttát: | |
| Liŋkkat: | http://www.sciencedirect.com/science/article/pii/S2666818124000676 |
| _version_ | 1827221688233754624 |
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| author | Yony Raúl Santaria Leuyacc |
| author_facet | Yony Raúl Santaria Leuyacc |
| author_sort | Yony Raúl Santaria Leuyacc |
| collection | DOAJ |
| description | In this research, we are interested to investigate the existence of nontrivial weak solutions to the following Hamiltonian elliptic system −div(ω(x)∇u)=g(v)|x|a,x∈B1(0),−div(ω(x)∇v)=f(u)|x|b,x∈B1(0),with Dirichlet boundary conditions, where a,b∈[0,2), the weight ω(x) is of logarithmic type and the nonlinearities f and g possess double exponential growth. To establish the existence of solutions, our approach involves utilizing the linking theorem and a finite-dimensional approximation. |
| first_indexed | 2024-04-24T07:22:32Z |
| format | Article |
| id | doaj.art-e382922727c74cef824c56f8b35c3893 |
| institution | Directory Open Access Journal |
| issn | 2666-8181 |
| language | English |
| last_indexed | 2025-03-21T16:26:34Z |
| publishDate | 2024-06-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Partial Differential Equations in Applied Mathematics |
| spelling | doaj.art-e382922727c74cef824c56f8b35c38932024-06-17T05:59:03ZengElsevierPartial Differential Equations in Applied Mathematics2666-81812024-06-0110100681Singular Hamiltonian elliptic systems involving double exponential growth in dimension twoYony Raúl Santaria Leuyacc0Universidad Nacional Mayor de San Marcos, Lima, PeruIn this research, we are interested to investigate the existence of nontrivial weak solutions to the following Hamiltonian elliptic system −div(ω(x)∇u)=g(v)|x|a,x∈B1(0),−div(ω(x)∇v)=f(u)|x|b,x∈B1(0),with Dirichlet boundary conditions, where a,b∈[0,2), the weight ω(x) is of logarithmic type and the nonlinearities f and g possess double exponential growth. To establish the existence of solutions, our approach involves utilizing the linking theorem and a finite-dimensional approximation.http://www.sciencedirect.com/science/article/pii/S2666818124000676Singular Hamiltonian systemTrudinger–Moser inequalityDouble exponential growthVariational methods |
| spellingShingle | Yony Raúl Santaria Leuyacc Singular Hamiltonian elliptic systems involving double exponential growth in dimension two Partial Differential Equations in Applied Mathematics Singular Hamiltonian system Trudinger–Moser inequality Double exponential growth Variational methods |
| title | Singular Hamiltonian elliptic systems involving double exponential growth in dimension two |
| title_full | Singular Hamiltonian elliptic systems involving double exponential growth in dimension two |
| title_fullStr | Singular Hamiltonian elliptic systems involving double exponential growth in dimension two |
| title_full_unstemmed | Singular Hamiltonian elliptic systems involving double exponential growth in dimension two |
| title_short | Singular Hamiltonian elliptic systems involving double exponential growth in dimension two |
| title_sort | singular hamiltonian elliptic systems involving double exponential growth in dimension two |
| topic | Singular Hamiltonian system Trudinger–Moser inequality Double exponential growth Variational methods |
| url | http://www.sciencedirect.com/science/article/pii/S2666818124000676 |
| work_keys_str_mv | AT yonyraulsantarialeuyacc singularhamiltonianellipticsystemsinvolvingdoubleexponentialgrowthindimensiontwo |