Eigenvalue problems for anisotropic quasilinear elliptic equations with variable exponent

By M. Mihăilescu, Patrizia Pucci, Vicentiu D. Rădulescu. 2008

254 citations recorded by the source corpus.

Subfields: Applied Mathematics, Computational Theory and Mathematics

View Paper: https://www.semanticscholar.org/paper/96714fc6130a654dafb1ea186476770fcd438d78

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In Applied Mathematics

1. Vicentiu D. Rădulescu
2. P. Hasto
3. Dušan D. Repovš
4. Petteri Harjulehto
5. Stepan A. Tersian
6. M. Mihăilescu
7. Maria-Magdalena Boureanu
8. Gheorghe Morosanu

In Computational Theory and Mathematics

1. Vicentiu D. Rădulescu
2. Dušan D. Repovš
3. P. Hasto
4. Stepan A. Tersian
5. Petteri Harjulehto
6. M. Mihăilescu
7. Maria-Magdalena Boureanu
8. Matti Nuortio

Citations in the corpus

• Eigenvalue problems for anisotropic discrete boundary value problems (2009, background): “Problem (2) was recently analyzed by Mihăilescu-Pucci-Rădulescu in [10, 11] (see also the studies in [8, 16, 17, 20, 21] for the case when pi(x) are constant functions).”
• Existence and multiplicity of solutions for an anisotropic elliptic problem involving variable exponent growth conditions (2010, background): “As it was pointed out in [20], W 1, ~ pð Þ 0 ð Þ is a reflexive Banach space.”
• Global Nonexistence for Nonlinear Kirchhoff Systems (2010, unknown): “Last but not least, we recall that the nonhomogeneous p(x)-Kirchhoff operator has been used in the last decades tomodel various phenomena, see [9–16,19,26,27] and the references therein.”
• Stationary waves of Schr\"odinger-type equations with variable exponent (2015, background): “ore, if p is bounded then W1,p(x) 0 (Ω) is the closure of C∞0(Ω) in the space W1,p(x)(Ω), see [7, Proposition 11.2.3]. The norm ||u|| = PN i=1 |∂x iu|p(x) is an equivalent norm in W 1,p(x) 0 (Ω) (see [16]). Hence W1,p(x) 0 (Ω) is a separable and reflexive Banach space. Note that when s ∈ C+(Ω) and s(”
• Anisotropic Neumann problems in Sobolev spaces with variable exponent (2012, background): “, pN(·)) is a vector with variable components); see [4–6].”
• Multiplicity of solutions for a class of anisotropic elliptic equations with variable exponent (2011, unknown): “This result can be easily extended to W 1,p ! ð Þ 0 ð Þ, see [29].”
• Overview of differential equations with non-standard growth (2010, result): “Similar results for more general elliptic equations were proved in [153].”
• WEAK SOLUTIONS FOR ANISOTROPIC NONLINEAR ELLIPTIC EQUATIONS WITH VARIABLE EXPONENTS (2009, background): “[16]) that will enable us to study with sufficient accuracy problem (1.”