Solutions for Neumann boundary value problems involving p(x)-Laplace operators
By Jinghua Yao. 2008
112 citations recorded by the source corpus.
Abstract In this paper we study the nonlinear Neumann boundary value problem of the following form: (P) { − div ( | ∇ u | p ( x ) − 2 ∇ u ) + | u | p ( x ) − 2 u = λ f ( x , u ) in Ω , | ∇ u | p ( x ) − 2 ∂ u ∂ ν = μ g ( x , u ) on ∂ Ω . Using the variational method, under appropriate assumptions on f and g , we obtain a number of results on existence and multiplicity of solutions. Also, what is also interesting is that we obtain some results which can be considered as extensions of the classical result named “combined effects of concave and convex nonlinearities”. Moreover, the positive solution of the problem is considered.
Subfields: Applied Mathematics, Computational Theory and Mathematics
View Paper: https://www.semanticscholar.org/paper/9f7b11ffa15f47385fd283d91f77b392ee1f3562
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In Applied Mathematics
- P. Hasto
- Petteri Harjulehto
- Dušan D. Repovš
- Matti Nuortio
- Ut V. Le
- F. Mtiri
- Mohamed Karim Hamdani
- A. Harrabi
In Computational Theory and Mathematics
- P. Hasto
- Petteri Harjulehto
- Dušan D. Repovš
- Matti Nuortio
- F. Mtiri
- Ut V. Le
- Mohamed Karim Hamdani
- A. Harrabi
Citations in the corpus
- Overview of differential equations with non-standard growth (2010, background): “[168] Yao, J.”
- Existence and multiplicity results for a newp(x)-Kirchhoff problem (2019, background): “For basic properties of the variable exponent Lebesgue spaces we refer to [20, 25, 39].”