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Nonlinear elliptic equations, rearrangements of functions and orlicz spaces
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Outgoing claims: the papers this work cites, builds on, or argues with.
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On some regular multiple integral problems in the calculus of variations
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Local estimates for the gradient of non‐parametric surfaces of prescribed mean curvature
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Quelques Resultats de Visik sur les Problemes Elliptiques Non Lineaires par les Methodes de Minty-Browder
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Symmetrisierung für Funktionen mehrerer reeller Variablen
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Zur Symmetrisierung von Funktionen auf Sphären
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An integral formula for total gradient variation
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Best constant in Sobolev inequality
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Integral transforms and tensor products on Orlicz spaces andL(p,q) spaces
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Nonlinear elliptic boundary value problems in Orlicz-Sobolev spaces
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Orlicz-Sobolev spaces and imbedding theorems
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Conjugate Spaces of Orlicz Spaces
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Notes on banach function spaces, V
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An Analytic Proof of Young's Inequality
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Nonlinear elliptic boundary value problems
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Fractional integration in Orlicz spaces. I
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Nonlinear Elliptic Boundary Value Problems for Equations With Rapidly (Or Slowly) Increasing Coefficients
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The problem of dirichlet for quasilinear elliptic differential equations with many independent variables
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Convolution operators and L(p,q) spaces
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On Imbeddings into Orlicz Spaces and Some Applications
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Isoperimetric Inequalities in Mathematical Physics. (AM-27)
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Fractional Integration in Orlicz Spaces. I
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Quelques résultats de Višik sur les problèmes elliptiques non linéaires par les méthodes de Minty-Browder
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The Hilbert transform and rearrangement of functions
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The Hilbert Transform on Rearrangement-Invariant Spaces
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
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Local Boundedness of Minimizers Under Unbalanced Orlicz Growth Conditions
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Counting Peaks of Solutions to Some Quasilinear Elliptic Equations with Large Exponents
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The Porous Medium Equation
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Copyright Page
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INTRODUCTION
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MAIN APPLICATIONS
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PRELIMINARIES AND BASIC ESTIMATES
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BASIC EXAMPLES
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THE DIRICHLET PROBLEM I. WEAK SOLUTIONS
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THE DIRICHLET PROBLEM II. LIMIT SOLUTIONS, VERY WEAK SOLUTIONS AND SOME OTHER VARIANTS
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CONTINUITY OF LOCAL SOLUTIONS
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780198569039.003.0008openalex-snapshot
THE DIRICHLET PROBLEM III. STRONG SOLUTIONS
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THE CAUCHY PROBLEM. L1-THEORY
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THE PME AS AN ABSTRACT EVOLUTION EQUATION. SEMIGROUP APPROACH
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THE NEUMANN PROBLEM AND PROBLEMS ON MANIFOLDS
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780198569039.003.0012openalex-snapshot
THE CAUCHY PROBLEM WITH GROWING INITIAL DATA
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780198569039.003.0013openalex-snapshot
OPTIMAL EXISTENCE THEORY FOR NON-NEGATIVE SOLUTIONS
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PROPAGATION PROPERTIES
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ONE-DIMENSIONAL THEORY. REGULARITY AND INTERFACES
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780198569039.003.0016openalex-snapshot
FULL ANALYSIS OF SELF-SIMILARITY
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TECHNIQUES OF SYMMETRIZATION AND CONCENTRATION
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ASYMPTOTIC BEHAVIOUR I. THE CAUCHY PROBLEM
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REGULARITY AND FINER ASYMPTOTICS IN SEVERAL DIMENSIONS
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780198569039.003.0020openalex-snapshot
ASYMPTOTIC BEHAVIOUR II. DIRICHLET AND NEUMANN PROBLEMS
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FURTHER APPLICATIONS
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BASIC FACTS
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Smoothing and Decay Estimates for Nonlinear Diffusion Equations
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Copyright Page
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Introduction
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Preliminaries
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Smoothing effect and time decay. Data inL1 (Rn) orM(Rn)
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Smoothing effect and time decay fromLporMp
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Lower bounds, contractivity, error estimates, and continuity
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780199202973.003.0006openalex-snapshot
Subcritical range of the FDE. Critical line. Extinction. Backward effect
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780199202973.003.0007openalex-snapshot
Improved analysis of the critical line. Delayed regularity
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780199202973.003.0008openalex-snapshot
Extinction rates and asymptotics for 0 <m
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780199202973.003.0009openalex-snapshot
Logarithmic diffusion in 2D and intermediate 1D range
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780199202973.003.0010openalex-snapshot
Superfast FDE
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Summary of main results for the PME/FDE
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Evolution equations of thep-Laplacian type
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780199202973.005.0001openalex-snapshot
Some analysis topics
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Particles and speeds
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Some Riemannian geometry
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Some extensions and parallel topics
inferred← citeshttps://doi.org/10.1112/plms.70034openalex-snapshot
Global second‐order estimates in anisotropic elliptic problems
inferred← citeshttps://doi.org/10.1112/s0025579300009827openalex-snapshot
Symmetrization and currents
inferred← citeshttps://doi.org/10.1137/19m1267301openalex-snapshot
Bang-Bang and Multiple Valued Optimal Solutions of Control Problems Related to Quasi-linear Elliptic Equations
inferred← citeshttps://doi.org/10.1137/s0036141096302111openalex-snapshot
On the Properties of Some Nonlinear Eigenvalues
inferred← citeshttps://doi.org/10.1142/9789814295574_0012openalex-snapshot
Existence and uniqueness of solutions of some nonlinear equations in Orlicz spaces and weighted Sobolev spaces
inferred← citeshttps://doi.org/10.1142/s0129167x23500453openalex-snapshot
Comparison results for solutions of Poisson equations with Robin boundary on complete Riemannian manifolds
inferred← citeshttps://doi.org/10.1142/s0129167x25500272openalex-snapshot
Schwarz symmetrizations in parabolic equations on complete manifolds
inferred← citeshttps://doi.org/10.1142/s0219530517500142openalex-snapshot
Gradient estimates via rearrangements for solutions of some Schrödinger equations
inferred← citeshttps://doi.org/10.11429/sugaku.0681001openalex-snapshot
Caffarelli–Kohn–Nirenberg型不等式とその周辺
inferred← citeshttps://doi.org/10.1155/2012/615816openalex-snapshot
On Elliptic Equations in Orlicz Spaces Involving Natural Growth Term and Measure Data
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