Nonlinear elliptic equations with variable exponent: old and new
VD Rădulescu - Nonlinear Analysis: Theory, Methods & Applications, 2015 - Elsevier
In this survey paper, by using variational methods, we are concerned with the qualitative
analysis of solutions to nonlinear elliptic problems of the type {− div A (x,∇ u)= λ| u| q (x)− 2 …
analysis of solutions to nonlinear elliptic problems of the type {− div A (x,∇ u)= λ| u| q (x)− 2 …
Regularity for minimizers for functionals of double phase with variable exponents
MA Ragusa, A Tachikawa - Advances in Nonlinear Analysis, 2019 - degruyter.com
The functionals of double phase type H (u):=∫| D u| p+ a (x)| D u| qdx,(q> p> 1, a (x)≥ 0) are
introduced in the epoch-making paper by Colombo-Mingione for constants p and q, and …
introduced in the epoch-making paper by Colombo-Mingione for constants p and q, and …
Regularity for general functionals with double phase
We prove sharp regularity results for a general class of functionals of the type w ↦ ∫ F (x, w,
Dw)\, dx, w↦∫ F (x, w, D w) dx, featuring non-standard growth conditions and non-uniform …
Dw)\, dx, w↦∫ F (x, w, D w) dx, featuring non-standard growth conditions and non-uniform …
Regularity for double phase variational problems
M Colombo, G Mingione - Archive for Rational Mechanics and Analysis, 2015 - Springer
We prove sharp regularity theorems for minimisers of a class of variational integrals whose
integrand switches between two different types of degenerate elliptic phases, according to …
integrand switches between two different types of degenerate elliptic phases, according to …
[PDF][PDF] Bounded minimisers of double phase variational integrals
M Colombo, G Mingione - Arch. Ration. Mech. Anal, 2015 - researchgate.net
Definition 1 implies that local minimisers are automatically in W 1, p loc (Ω). We immediately
say that since all the regularity properties of local minimisers treated in this paper are local in …
say that since all the regularity properties of local minimisers treated in this paper are local in …
[图书][B] Lebesgue and Sobolev spaces with variable exponents
The field of variable exponent function spaces has witnessed an explosive growth in recent
years. The standard reference article for basic properties is already 20 years old. Thus this …
years. The standard reference article for basic properties is already 20 years old. Thus this …
Harnack inequalities for double phase functionals
Harnack inequalities for double phase functionals - ScienceDirect Skip to main contentSkip to
article Elsevier logo Journals & Books Search RegisterSign in View PDF Download full issue …
article Elsevier logo Journals & Books Search RegisterSign in View PDF Download full issue …
Non-autonomous functionals, borderline cases and related function classes
The class of non-autonomous functionals under study is characterized by the fact that the
energy density changes its ellipticity and growth properties according to the point; some …
energy density changes its ellipticity and growth properties according to the point; some …
Regularity results for stationary electro-rheological fluids
E Acerbi, G Mingione - Archive for rational mechanics and analysis, 2002 - Springer
We prove regularity results for weak solutions to systems modelling electro-rheological fluids
in the stationary case, as proposed in [27, 31]; a particular case of the system we consider is …
in the stationary case, as proposed in [27, 31]; a particular case of the system we consider is …
[PDF][PDF] Maximal function on generalized Lebesque spaces L^ P^(^⊙^)
L Diening - Mathematical Inequalities and Applications, 2004 - researchgate.net
MAXIMAL FUNCTION ON GENERALIZED LEBESGUE SPACES LP) Page 1 fherr) CfjCC|
equClifies :pplications Vīnē 7 Nürnber 2 (2003), 245-253 MAXIMAL FUNCTION ON …
equClifies :pplications Vīnē 7 Nürnber 2 (2003), 245-253 MAXIMAL FUNCTION ON …