A Picone's identity for the p(x)-Laplace equations and its applications

DOI10.7153/mia-2021-24-56zbMath1475.35154OpenAlexW3192843422MaRDI QIDQ5153591

Lujuan Yu

Publication date: 30 September 2021

Published in: Mathematical Inequalities & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/mia-2021-24-56

zbMATH Keywords

first eigenvaluePicone identityHardy inequality\(p(x)\)-LaplacianCaccioppoli inequality

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Nonlinear elliptic equations (35J60)

Cites Work

• Picone identity for quasilinear elliptic equations with \(p(x)\)-Laplacians and Sturmian comparison theory
• Picone's identity for biharmonic operators on Heisenberg group and its applications
• A note on the Caccioppoli inequality for biharmonic operators
• Some qualitative questions on the equation \(-\operatorname{div}(a(x,u,u))=f(x,u)\)
• Sturmian comparison and oscillation theorems for a class of half-linear elliptic equations
• Picone identities for half-linear elliptic operators with \(p(x)\)-laplacians and applications to Sturmian comparison theory
• Lebesgue and Sobolev spaces with variable exponents
• A Picone identity for half-linear elliptic equations and its applications to oscillation theory
• Global \(C^{1,\alpha}\) regularity for variable exponent elliptic equations in divergence form
• Overview of differential equations with non-standard growth
• On Lavrentiev's phenomenon
• Principal eigenvalues and Sturm comparison via Picone's identity
• A Picone-type identity and Sturmian comparison and oscillation theorems for a class of half-linear partial differential equations of second order
• Electrorheological fluids: modeling and mathematical theory
• Eigenvalues of \(p(x)\)-Laplacian Dirichlet problem
• Variational methods for indefinite superlinear homogeneous elliptic problems
• A nonlinear Picone's identity and its applications
• A Picone identity for variable exponent operators and applications
• \(A\)-harmonic Picone's identity with applications
• Oscillation theory
• Oscillation of p(x)-Laplacian elliptic inequalities with mixed variable exponents
• PICONE INEQUALITIES FOR p-SUB-LAPLACIAN ON THE HEISENBERG GROUP AND ITS APPLICATIONS
• AVERAGING OF FUNCTIONALS OF THE CALCULUS OF VARIATIONS AND ELASTICITY THEORY
• A class of De Giorgi type and Hölder continuity
• A Picone's identity for the p-Laplacian and applications
• Oscillation of nonlinear elliptic inequalities with p(x)-Laplacian
• A new variable exponent Picone identity and applictions
• Variable Exponent, Linear Growth Functionals in Image Restoration
• Caccioppoli estimates through an anisotropic Picone’s identity
• Regularity results for a class of functionals with non-standard growth
• On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)
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