Existence results to elliptic systems with nonstandard growth conditions

By Abdallah El Hamidi. 2004

156 citations recorded by the source corpus.

Subfields: Applied Mathematics, Computational Theory and Mathematics, Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/604f58c14adc95edc5c7aafd79be332bacb82de4

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In Applied Mathematics

In Computational Theory and Mathematics

In Control and Systems Engineering

Citations in the corpus

The Nehari manifold for a semilinear elliptic system involving sign-changing weight functions (2008, methodology): “For more similar problems, we refer the reader to Ahammou [1], Alves–de Morais Filho–Souto [5], Bozhkov–Mitidieri [6], Clément–de Figueiredo–Mitidieri [7], de Figueiredo–Felmer [8], EL Hamidi [11], Squassina [13] and Vélin [15], etc.”
Overview of differential equations with non-standard growth (2010, background): “Most recently, Lin and Shi [138] considered a more general case than that in [75] by adding one more function of (x, u, v) to each equation in the system, more precisely”
A multiplicity result for a nonlinear degenerate problem arising in the theory of electrorheological fluids (2006, result): “the work of El Hamidi (2004) for a nice generalization of such results to the study of elliptic systems of gradient type with pðxÞ growth).”
On a nonhomogeneous quasilinear eigenvalue problem in sobolev spaces with variable exponent (2006, background): “We also refer to El Hamidi [12], where it is proved a multiplicity result for a class of symmetric systems involving (p(x), q(x))-Laplace operators.”
Existence of Positive Solutions for p(x)-Laplacian Equations with a Singular Nonlinear Term (2014, background): “For example, the regularity of weak solutions for differential equations with variable exponent was studied in [1, 7], and existence of solutions for variable exponent problems was studied in a series of papers [3, 9, 12, 20, 24, 30, 33, 36, 39, 44, 45].”
The Nehari manifold for systems of nonlinear elliptic equations (2006, unknown): “For the nonlinear elliptic systems, we refer to [2, 3, 6, 8, 11, 14, 20, 21] and to the survey article [13].”