Geodesic
Existence and uniqueness of weak solution of p(x)-Laplacian in Sobolev spaces with variable exponents in complete manifolds
Filomat, Tome 35 (2021) no. 5, p. 1453

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The paper deals with the existence and uniqueness of a non-trivial solution to non-homogeneous p(x)−Laplacian equations, managed by non polynomial growth operator in the framework of variable exponent Sobolev spaces on Riemannian manifolds. The mountain pass Theorem is used.
DOI : 10.2298/FIL2105453B
Classification : 35J47, 35J60
Keywords: Non-trivial solution, Lebesgue space with variable exponent, Sobolev spaces Riemannian manifolds, Mountain pass Theorem 
Omar Benslimane; Ahmed Aberqi; Jaouad Bennouna. Existence and uniqueness of weak solution of p(x)-Laplacian in Sobolev spaces with variable exponents in complete manifolds. Filomat, Tome 35 (2021) no. 5, p. 1453 . doi: 10.2298/FIL2105453B
@article{10_2298_FIL2105453B,
     author = {Omar Benslimane and Ahmed Aberqi and Jaouad Bennouna},
     title = {Existence and uniqueness of weak solution of {p(x)-Laplacian} in {Sobolev} spaces with variable exponents in complete manifolds},
     journal = {Filomat},
     pages = {1453 },
     year = {2021},
     volume = {35},
     number = {5},
     doi = {10.2298/FIL2105453B},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2105453B/}
}
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