Solutions for a quasilinear elliptic equation in Musielak–Sobolev spaces

Existence of solutions for p(x)-Laplacian Dirichlet problem

Xianling Fan, Qihu Zhang · Nonlinear Analysis · 2002 · 820 citations · Full text

Natural Sciences, Mathematics, Physics +11

On principal eigenvalues for quasilinear elliptic differential operators: an Orlicz-Sobolev space setting

Marta García‐Huidobro, Vy Khoi Le, Raúl Manásevich et al. · Nonlinear Differential Equations and Applications NoDEA · 1999 · 149 citations

Natural Sciences, Mechanical Engineering, Dynamical Systems +10

The quasi-minimizer of integral functionals with m(x) growth conditions

Xianling Fan, Dun Zhao · Nonlinear Analysis · 2000 · 76 citations · Full text

Natural Sciences, Mathematics, Optimization +11

An imbedding theorem for Musielak–Sobolev spaces

Xianling Fan · Nonlinear Analysis · 2011 · 73 citations · Full text

Natural Sciences, Mathematics, Topology +8

Infinitely many positive solutions for a<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mi>p</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>x</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math>-Kirchhoff-type equation

Guowei Dai, Duchao Liu · Journal of Mathematical Analysis and Applications · 2009 · 69 citations · Full text

Natural Sciences, Mathematics, Differential Equations +1