Multiplicity results for some Steklov problems involving $p(x)$-Laplacian operator
Novi Sad Journal of Mathematics, Tome 54 (2024) no. 1.

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This paper deals with the existence and multiplicity of solutions for a class of $p\left( x\right) $-La\-pla\-ci\-an problems. The main results are obtained on variable exponent Sobolev spaces, by using mountain pass theorem and fountain theorem.
Publié le :
DOI : 10.30755/NSJOM.14803
Classification : 35P30, 35J35, 35J60
Keywords: $p\left( x\right) $-Laplacian, $\left( PS\right) $ condition, variational methods, mountain pass theorem, fountain theorem
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     author = {Kamel Akrout and Souraya Fareh},
     title = {Multiplicity results for some {Steklov} problems involving $p(x)${-Laplacian} operator},
     journal = {Novi Sad Journal of Mathematics},
     pages = {209 - 226},
     publisher = {mathdoc},
     volume = {54},
     number = {1},
     year = {2024},
     doi = {10.30755/NSJOM.14803},
     url = {http://geodesic.mathdoc.fr/articles/10.30755/NSJOM.14803/}
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Kamel Akrout; Souraya Fareh. Multiplicity results for some Steklov problems involving $p(x)$-Laplacian operator. Novi Sad Journal of Mathematics, Tome 54 (2024) no. 1. doi : 10.30755/NSJOM.14803. http://geodesic.mathdoc.fr/articles/10.30755/NSJOM.14803/

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