An Existence Result for a Class of <i>p</i>(<i>x</i>)—Anisotropic Type Equations
In this paper, we study a class of anisotropic variable exponent problems involving the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mover><mi>p</mi><mo>→</mo></mover></seman...
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-04-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/13/4/633 |
| _version_ | 1797538185295691776 |
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| author | Anass Ourraoui Maria Alessandra Ragusa |
| author_facet | Anass Ourraoui Maria Alessandra Ragusa |
| author_sort | Anass Ourraoui |
| collection | DOAJ |
| description | In this paper, we study a class of anisotropic variable exponent problems involving the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mover><mi>p</mi><mo>→</mo></mover></semantics></math></inline-formula>(.)-Laplacian. By using the variational method as our main tool, we present a result regarding the existence of solutions without the so-called Ambrosetti–Rabinowitz-type conditions. |
| first_indexed | 2024-03-10T12:26:58Z |
| format | Article |
| id | doaj.art-5e0605afa5964043b7b94ca2256c5ea1 |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-10T12:26:58Z |
| publishDate | 2021-04-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-5e0605afa5964043b7b94ca2256c5ea12023-11-21T14:56:13ZengMDPI AGSymmetry2073-89942021-04-0113463310.3390/sym13040633An Existence Result for a Class of <i>p</i>(<i>x</i>)—Anisotropic Type EquationsAnass Ourraoui0Maria Alessandra Ragusa1FSO, Department of Mathematics, University of Mohammed First, Oujda BP 524-60000, MoroccoDipartimento di Matematica e Informatica, Università di Catania, Viale Andrea Doria 6, 95125 Catania, ItalyIn this paper, we study a class of anisotropic variable exponent problems involving the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mover><mi>p</mi><mo>→</mo></mover></semantics></math></inline-formula>(.)-Laplacian. By using the variational method as our main tool, we present a result regarding the existence of solutions without the so-called Ambrosetti–Rabinowitz-type conditions.https://www.mdpi.com/2073-8994/13/4/633elliptic problemanisotropicweak solutionasymmetric behaviour |
| spellingShingle | Anass Ourraoui Maria Alessandra Ragusa An Existence Result for a Class of <i>p</i>(<i>x</i>)—Anisotropic Type Equations Symmetry elliptic problem anisotropic weak solution asymmetric behaviour |
| title | An Existence Result for a Class of <i>p</i>(<i>x</i>)—Anisotropic Type Equations |
| title_full | An Existence Result for a Class of <i>p</i>(<i>x</i>)—Anisotropic Type Equations |
| title_fullStr | An Existence Result for a Class of <i>p</i>(<i>x</i>)—Anisotropic Type Equations |
| title_full_unstemmed | An Existence Result for a Class of <i>p</i>(<i>x</i>)—Anisotropic Type Equations |
| title_short | An Existence Result for a Class of <i>p</i>(<i>x</i>)—Anisotropic Type Equations |
| title_sort | existence result for a class of i p i i x i anisotropic type equations |
| topic | elliptic problem anisotropic weak solution asymmetric behaviour |
| url | https://www.mdpi.com/2073-8994/13/4/633 |
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