Existence results for γ ( τ ) $\gamma (\tau )$ -triharmonic equation involving Navier boundary conditions and Hardy potential
Abstract In this paper, we study the existence of weak solutions for a nonlinear elliptic Navier boundary value problem involving the γ ( τ ) $\gamma (\tau ) $ -type triharmonic operator and Hardy potential. The main objective of this study is to establish the existence of entropy solutions for this...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2025-07-01
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| Series: | Boundary Value Problems |
| Subjects: | |
| Online Access: | https://doi.org/10.1186/s13661-025-02063-1 |
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| Summary: | Abstract In this paper, we study the existence of weak solutions for a nonlinear elliptic Navier boundary value problem involving the γ ( τ ) $\gamma (\tau ) $ -type triharmonic operator and Hardy potential. The main objective of this study is to establish the existence of entropy solutions for this problem under well-structured assumptions. Our approach relies on a novel analytical framework incorporating regularization techniques to handle the non-coercive nature of the γ ( τ ) $\gamma (\tau ) $ -triharmonic operator in Sobolev spaces with variable exponent growth conditions. Additionally, we address the singularities arising from nonlinear source terms. |
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| ISSN: | 1687-2770 |