Geodesic
Weak solutions for elliptic problems in weighted anisotropic Sobolev space
Filomat, Tome 37 (2023) no. 28, p. 9729

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DOI

Using Mountain Pass Theorem, the existence of weak solutions for − XN i=1 ∂ ∂xi a(x)| ∂u ∂xi |pi(x)−2 ∂u ∂xi ! = λγ(x)|u|q(x)−2u − λδ(x)|u|r(x)−2u, with Dirichlet boundary condition is studied.
DOI : 10.2298/FIL2328729S
Classification : 35J20, 35J60, 35D05, 35J70
Keywords: Anisotropic operator, Mountain Pass theorem, weighted Sobolev space, variational methods 
Tahere Soltani; Abdolrahman Razani. Weak solutions for elliptic problems in weighted anisotropic Sobolev space. Filomat, Tome 37 (2023) no. 28, p. 9729 . doi: 10.2298/FIL2328729S
@article{10_2298_FIL2328729S,
     author = {Tahere Soltani and Abdolrahman Razani},
     title = {Weak solutions for elliptic problems in weighted anisotropic {Sobolev} space},
     journal = {Filomat},
     pages = {9729 },
     year = {2023},
     volume = {37},
     number = {28},
     doi = {10.2298/FIL2328729S},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2328729S/}
}
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