Some maximum principles for solutions of a class of partial differential equations in Ω⊂ℝn
We find maximum principles for solutions of semilinear elliptic partial differential equations of the forms: (1) Δ2u+αf(u)=0, α∈ℝ+ and (2) ΔΔu+α(Δu)k+gu=0, α≤0 in some region Ω⊂ℝn.
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| Format: | Article |
| Language: | English |
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Wiley
2000-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171200004877 |
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| _version_ | 1832565645179355136 |
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| author | Mohammad Mujalli Al-Mahameed |
| author_facet | Mohammad Mujalli Al-Mahameed |
| author_sort | Mohammad Mujalli Al-Mahameed |
| collection | DOAJ |
| description | We find maximum principles for solutions of semilinear elliptic
partial differential equations of the forms: (1) Δ2u+αf(u)=0, α∈ℝ+ and (2) ΔΔu+α(Δu)k+gu=0, α≤0 in some region
Ω⊂ℝn. |
| format | Article |
| id | doaj-art-4b9c0e96beba4d8a9121eb4293e538ff |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2000-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-4b9c0e96beba4d8a9121eb4293e538ff2025-02-03T01:06:59ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252000-01-01241174975110.1155/S0161171200004877Some maximum principles for solutions of a class of partial differential equations in Ω⊂ℝnMohammad Mujalli Al-Mahameed0Department of Mathematics, Irbid National University, P.O. Box 2600, Irbid, JordanWe find maximum principles for solutions of semilinear elliptic partial differential equations of the forms: (1) Δ2u+αf(u)=0, α∈ℝ+ and (2) ΔΔu+α(Δu)k+gu=0, α≤0 in some region Ω⊂ℝn.http://dx.doi.org/10.1155/S0161171200004877Maximum principlessemilinear elliptic equations. |
| spellingShingle | Mohammad Mujalli Al-Mahameed Some maximum principles for solutions of a class of partial differential equations in Ω⊂ℝn International Journal of Mathematics and Mathematical Sciences Maximum principles semilinear elliptic equations. |
| title | Some maximum principles for solutions of a class of partial differential equations in
Ω⊂ℝn |
| title_full | Some maximum principles for solutions of a class of partial differential equations in
Ω⊂ℝn |
| title_fullStr | Some maximum principles for solutions of a class of partial differential equations in
Ω⊂ℝn |
| title_full_unstemmed | Some maximum principles for solutions of a class of partial differential equations in
Ω⊂ℝn |
| title_short | Some maximum principles for solutions of a class of partial differential equations in
Ω⊂ℝn |
| title_sort | some maximum principles for solutions of a class of partial differential equations in ω⊂rn |
| topic | Maximum principles semilinear elliptic equations. |
| url | http://dx.doi.org/10.1155/S0161171200004877 |
| work_keys_str_mv | AT mohammadmujallialmahameed somemaximumprinciplesforsolutionsofaclassofpartialdifferentialequationsinōrn |