Solutions for p(x)-Laplacian Dirichlet problems with singular coefficients

By Xianling Fan. 2005

180 citations recorded by the source corpus.

Using the critical point theory, we investigate the existence and multiplicity of solutions for p(x)-Laplacian Dirichlet problem with singular coefficients.

Subfields: Applied Mathematics, Computational Theory and Mathematics

View Paper: https://www.semanticscholar.org/paper/45a50645309d4dfb69d9aa834346cfb085abb08b

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

In Computational Theory and Mathematics

Citations in the corpus

Multiplicity of solutions for a class of anisotropic elliptic equations with variable exponent (2011, unknown): “For more information on properties, modelling and the application of variable exponent spaces to these fluids we refer to [16–25].”
Quasilinear elliptic non-homogeneous Dirichlet problems through Orlicz-Sobolev spaces (2012, unknown): “[20–22,9,23].”
Eigenvalues of the p(x)-Laplacian Steklov problem☆ (2008, background): “Since X is a separable and reflexive Banach space (see [16,37]), there exist {en}∞n=1 ⊂ X and {fn}∞n=1 ⊂ X∗ such that fn(em) = δ(n,m) = { 1 if n = m, 0 if n = m, X = span{en: n = 1,2, .”
Solutions of nonlinear problems involving p(x)-Laplacian operator (2015, background): “Moreover, the nonlinear problems involving p(x)-Laplacian operator have become extremely attractive over the last two decades [3, 7, 15, 19].”
Existence and multiplicity of weak solutions for elliptic Dirichlet problems with variable exponent (2014, unknown): “The problem (Dλ,f ) has been studied by several authors (see for instance [3–5,10,9,13,12,14,15,8,18,19, 19,20,22,26]).”
Eigenvalue problems for anisotropic quasilinear elliptic equations with variable exponent (2008, background): “[14,15], Mihăilescu and Rădulescu [22–24], Rajagopal and Ruzicka [32], and Ruzicka [33].”
A multiplicity results for a singular equation involving the p(x)-Laplace operator (2017, methodology): “Saoudi [4,5] has extended the results of existence for more general problem.”
Stationary waves of Schr\"odinger-type equations with variable exponent (2015, unknown): “Then limk→∞ αk = 0, see [10].”