On subelliptic equations on stratified Lie groups driven by singular nonlinearity and weak $L^1$ data
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866909709613662208 |
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| author | Sahu, S. Choudhuri, D. Repovš, D. D. |
| author_facet | Sahu, S. Choudhuri, D. Repovš, D. D. |
| contents | The article is about an elliptic problem defined on a {\it stratified Lie group}. Both sub- and superlinear cases are considered whose solutions are guaranteed to exist in light of the interplay between the nonlinearities and the weak $L^1$ datum. The existence of infinitely many solutions is proved for suitable values of $λ,p,q$ by using the Symmetric Mountain Pass Theorem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_04418 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On subelliptic equations on stratified Lie groups driven by singular nonlinearity and weak $L^1$ data Sahu, S. Choudhuri, D. Repovš, D. D. Analysis of PDEs Functional Analysis 35R35, 35Q35, 35J20, 46E35 The article is about an elliptic problem defined on a {\it stratified Lie group}. Both sub- and superlinear cases are considered whose solutions are guaranteed to exist in light of the interplay between the nonlinearities and the weak $L^1$ datum. The existence of infinitely many solutions is proved for suitable values of $λ,p,q$ by using the Symmetric Mountain Pass Theorem. |
| title | On subelliptic equations on stratified Lie groups driven by singular nonlinearity and weak $L^1$ data |
| topic | Analysis of PDEs Functional Analysis 35R35, 35Q35, 35J20, 46E35 |
| url | https://arxiv.org/abs/2410.04418 |