Existence of solutions for the -Laplacian problem with singular term.
Solutions for a class of hemivariational inequalities with p(x)-Laplacian
We study a class of hemivariational inequalities with p(x)-Laplacian. Applying nonsmooth critical point theory for locally Lipschitz functions, we obtain the existence of solutions on interior and exterior domains.
Weak solutions for elliptic systems with variable growth in Clifford analysis
In this paper we consider the following Dirichlet problem for elliptic systems: where is a Dirac operator in Euclidean space, is defined in a bounded Lipschitz domain in and takes value in Clifford algebras. We first introduce variable exponent Sobolev spaces of Clifford-valued functions, then discuss the properties of these spaces and the related operator theory in these spaces. Using the Galerkin method, we obtain the existence of weak solutions to the scalar part of the above-mentioned...
Regularity for minimizers of functionals with variable growth and discontinuous coefficients
Based on the theory of variable exponent spaces, we study the regularity of local minimizers for a class of functionals with variable growth and discontinuous coefficients. Under suitable assumptions, we obtain local Hölder continuity of minimizers.
Multiple solutions for a class of p(x)-Laplacian equations involving the critical exponent
We study the multiplicity of solutions for a class of p(x)-Laplacian equations involving the critical exponent. Under suitable assumptions, we obtain a sequence of radially symmetric solutions associated with a sequence of positive energies going toward infinity.
Multiple solutions for a class of -Laplacian systems.
Local boundedness of weak solutions for nonlinear parabolic problem with -growth.
Extreme points and rotundity in Musielak-Orlicz-Bochner function spaces endowed with Orlicz norm.
Nonsquareness and locally uniform nonsquareness in Orlicz-Bochner function spaces endowed with Luxemburg norm.
Nonsquareness in Musielak-Orlicz-Bochner function spaces.
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