Existence of Solutions for p(x)-Laplacian Elliptic BVPs on a Variable Sobolev Space Via Fixed Point Theorems
In this paper, we prove some existence theorems for elliptic boundary value problems within the p ( x )-Laplacian on a variable Sobolev space. For this purpose, the main problem is transformed into a fixed point problem and then fixed point arguments such as Schaefer’s and Schauder’s theorems are us...
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| Veröffentlicht in: | Qualitative theory of dynamical systems 2024-09, Vol.23 (4), Article 195 |
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| container_title | Qualitative theory of dynamical systems |
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| creator | Ayadi, Souad Alzabut, Jehad Afshari, Hojjat Sahlan, Monireh Nosrati |
| description | In this paper, we prove some existence theorems for elliptic boundary value problems within the
p
(
x
)-Laplacian on a variable Sobolev space. For this purpose, the main problem is transformed into a fixed point problem and then fixed point arguments such as Schaefer’s and Schauder’s theorems are used. Our approach involves fewer stringent assumptions on the nonlinearity function than the prior findings. An interesting example is presented to examine the validity of the theoretical findings. |
| doi_str_mv | 10.1007/s12346-024-01054-4 |
| format | Article |
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x
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x
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p
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x
)-Laplacian on a variable Sobolev space. For this purpose, the main problem is transformed into a fixed point problem and then fixed point arguments such as Schaefer’s and Schauder’s theorems are used. Our approach involves fewer stringent assumptions on the nonlinearity function than the prior findings. An interesting example is presented to examine the validity of the theoretical findings.</abstract><cop>Cham</cop><pub>Springer International Publishing</pub><doi>10.1007/s12346-024-01054-4</doi><oa>free_for_read</oa></addata></record> |
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| ispartof | Qualitative theory of dynamical systems, 2024-09, Vol.23 (4), Article 195 |
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| language | eng |
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| subjects | Boundary value problems Difference and Functional Equations Dynamical Systems and Ergodic Theory Existence theorems Fixed points (mathematics) Mathematics Mathematics and Statistics Sobolev space |
| title | Existence of Solutions for p(x)-Laplacian Elliptic BVPs on a Variable Sobolev Space Via Fixed Point Theorems |
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