Existence of Solutions to Noncoercive Elliptic Equations Involving Some Lower-Order Terms
In this paper, we investigate a quasilinear elliptic boundary value problem as −div∇up−2∇u/1+uθp−1+ur−1u=huf,x∈Ω,ux≥0,x∈Ω,ux=0,x∈∂Ω, where Ω is an open bounded subset of RNN>2, p>1, θ≥0, and f≥0 belongs to a suitable Lebesgue space. The function h is continuous, nonnegative, may blow up at zer...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2025-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/jom/5375297 |
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| Summary: | In this paper, we investigate a quasilinear elliptic boundary value problem as −div∇up−2∇u/1+uθp−1+ur−1u=huf,x∈Ω,ux≥0,x∈Ω,ux=0,x∈∂Ω, where Ω is an open bounded subset of RNN>2, p>1, θ≥0, and f≥0 belongs to a suitable Lebesgue space. The function h is continuous, nonnegative, may blow up at zero, and it is bounded at infinity. We are dedicated to studying the existence of solutions to the above equation in the entire article. |
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| ISSN: | 2314-4785 |