Existence and nonexistence results for anisotropic quasilinear elliptic equations

Article Properties
  • Publication Date
    2004/10/01
  • Indian UGC (journal)
  • Refrences
    29
  • Citations
    119
  • Ilaria Fragalà Dipartimento di Matematica del Politecnico, piazza Leonardo da Vinci 32, 20133 Milano, Italy
  • Filippo Gazzola Dipartimento di Matematica del Politecnico, piazza Leonardo da Vinci 32, 20133 Milano, Italy
  • Bernd Kawohl Mathematisches Institut, Universität Köln, 50923 Köln, Germany
Cite
Fragalà, Ilaria, et al. “Existence and Nonexistence Results for Anisotropic Quasilinear Elliptic Equations”. Annales De l’Institut Henri Poincaré C, Analyse Non linéaire, vol. 21, no. 5, 2004, pp. 715-34, https://doi.org/10.1016/j.anihpc.2003.12.001.
Fragalà, I., Gazzola, F., & Kawohl, B. (2004). Existence and nonexistence results for anisotropic quasilinear elliptic equations. Annales De l’Institut Henri Poincaré C, Analyse Non linéaire, 21(5), 715-734. https://doi.org/10.1016/j.anihpc.2003.12.001
Fragalà, Ilaria, Filippo Gazzola, and Bernd Kawohl. “Existence and Nonexistence Results for Anisotropic Quasilinear Elliptic Equations”. Annales De l’Institut Henri Poincaré C, Analyse Non linéaire 21, no. 5 (2004): 715-34. https://doi.org/10.1016/j.anihpc.2003.12.001.
Fragalà I, Gazzola F, Kawohl B. Existence and nonexistence results for anisotropic quasilinear elliptic equations. Annales de l’Institut Henri Poincaré C, Analyse non linéaire. 2004;21(5):715-34.
Refrences
Title Journal Journal Categories Citations Publication Date
The pseudo-p-Laplace eigenvalue problem and viscosity solutions asp→ ∞ ESAIM: Control, Optimisation and Calculus of Variations
  • Technology: Mechanical engineering and machinery
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
  • Technology: Engineering (General). Civil engineering (General)
  • Science: Mathematics
48 2004
On the regularity of solutions in the Pucci-Serrin identity Calculus of Variations and Partial Differential Equations
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
41 2003
Local boundedness of minimizers of anisotropic functionals 2000
Almost everywhere convergence of gradients of solutions to nonlinear elliptic systems 1998
An estimate of the maximum of the modulus of generalized solutions of the Dirichlet problem, for elliptic equations of divergent form Ukrainian Mathematical Journal
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
1995
Refrences Analysis
The category Science: Mathematics 12 is the most frequently represented among the references in this article. It primarily includes studies from Journal of Differential Equations and Journal of Functional Analysis. The chart below illustrates the number of referenced publications per year.
Refrences used by this article by year
Citations
Title Journal Journal Categories Citations Publication Date
Positive solutions for a semipositone anisotropic p-Laplacian problem

Boundary Value Problems
  • Science: Mathematics: Analysis
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
2024
Competing anisotropic and Finsler $(p,q)$-Laplacian problems

Boundary Value Problems
  • Science: Mathematics: Analysis
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
2024
Anisotropic $ (\vec{p}, \vec{q}) $-Laplacian problems with superlinear nonlinearities

Communications in Analysis and Mechanics 2024
Nonnegative weak solutions of anisotropic parabolic equations Discrete and Continuous Dynamical Systems - S
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
2024
Dirichlet problems with anisotropic principal part involving unbounded coefficients

Electronic Journal of Differential Equations
  • Science: Mathematics
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
2024
Citations Analysis
The category Science: Mathematics 108 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Nonhomogeneous boundary value problems in anisotropic Sobolev spaces and was published in 2007. The most recent citation comes from a 2024 study titled Competing anisotropic and Finsler $(p,q)$-Laplacian problems. This article reached its peak citation in 2023, with 11 citations. It has been cited in 64 different journals, 21% of which are open access. Among related journals, the Nonlinear Analysis cited this research the most, with 14 citations. The chart below illustrates the annual citation trends for this article.
Citations used this article by year