A new class of double phase variable exponent problems: existence and uniqueness
DOI10.1016/j.jde.2022.03.029zbMath1489.35041arXiv2103.08928OpenAlexW3138436730MaRDI QIDQ2124514
Leszek Gasiński, Petteri Harjulehto, Ángel Crespo-Blanco, Patrick Winkert
Publication date: 11 April 2022
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2103.08928
uniquenessexistence resultsconvection termdensity of smooth functionsdouble phase operator with variable exponentMusielak-Orlicz Sobolev space
Monotone operators and generalizations (47H05) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Second-order elliptic equations (35J15) Quasilinear elliptic equations (35J62) Operators on real function spaces (47B92)
Related Items (58)
Cites Work
- Boundary regularity of minimizers of \(p(x)\)-energy functionals
- Eigenvalues for double phase variational integrals
- On variational problems and nonlinear elliptic equations with nonstandard growth conditions
- An imbedding theorem for Musielak-Sobolev spaces
- Bounded minimisers of double phase variational integrals
- Hölder regularity of quasiminimizers under generalized growth conditions
- Lebesgue and Sobolev spaces with variable exponents
- Differential equations of divergence form in Musielak-Sobolev spaces and a sub-supersolution method
- Anisotropic nonlinear Neumann problems
- Orlicz spaces and modular spaces
- Uniform convexity of Musielak-Orlicz-Sobolev spaces and applications
- Regularity of minimizers of integrals of the calculus of variations with non-standard growth conditions
- Solitons in several space dimensions: Derrick's problem and infinitely many solutions
- Double phase problems with variable growth
- Partial regularity for general systems of double phase type with continuous coefficients
- Existence and multiplicity results for double phase problem
- Hölder regularity for nonlocal double phase equations
- Orlicz spaces and generalized Orlicz spaces
- Regularity for general functionals with double phase
- On the stationary solutions of generalized reaction diffusion equations with \(p\)\& \(q\)-Laplacian
- Double phase anisotropic variational problems and combined effects of reaction and absorption terms
- On the regularity of minima of non-autonomous functionals
- Elliptic problems with convection terms in Orlicz spaces
- Existence results for double phase implicit obstacle problems involving multivalued operators
- An existence result for singular Finsler double phase problems
- Existence of solutions for double phase obstacle problems with multivalued convection term
- Combined effects of singular and superlinear nonlinearities in singular double phase problems in \(\mathbb{R}^N\)
- The boundedness and Hölder continuity of weak solutions to elliptic equations involving variable exponents and critical growth
- Maximal regularity for local minimizers of non-autonomous functionals
- Regularity results for generalized double phase functionals
- Double phase problems with variable growth and convection for the Baouendi-Grushin operator
- Multiple solutions of double phase variational problems with variable exponent
- Sign changing solution for a double phase problem with nonlinear boundary condition via the Nehari manifold
- Constant sign and nodal solutions for superlinear double phase problems
- Regularity for double phase variational problems
- Borderline gradient continuity of minima
- Existence and uniqueness results for double phase problems with convection term
- Ground state and nodal solutions for a class of double phase problems
- Constant sign solutions for double phase problems with superlinear nonlinearity
- Regularity for double phase problems under additional integrability assumptions
- Optimal Lipschitz criteria and local estimates for non-uniformly elliptic problems
- Regularity for minimizers for functionals of double phase with variable exponents
- Harnack inequalities for double phase functionals
- Higher integrability for constrained minimizers of integral functionals with \((p, q)\)-growth in low dimension
- Boundary trace embedding theorems for variable exponent Sobolev spaces
- Eigenvalue problems for the \(p\)-Laplacian
- Regularity and existence of solutions of elliptic equations with p,q- growth conditions
- Symmetry and monotonicity of singular solutions of double phase problems
- A double phase problem involving Hardy potentials
- Non-autonomous functionals, borderline cases and related function classes
- Applied Nonlinear Functional Analysis
- Existence results for double-phase problems via Morse theory
- Notes on the Stationary p-Laplace Equation
- Lipschitz Bounds and Nonuniform Ellipticity
- Sobolev embeddings for unbounded domain with variable exponent having values across N
- Isotropic and anisotropic double-phase problems: old and new
- Partial Differential Equations with Variable Exponents
- Double phase transonic flow problems with variable growth: nonlinear patterns and stationary waves
- Double-phase problems and a discontinuity property of the spectrum
- Measure and integration theory. Transl. from the German by Robert B. Burckel
- Sobolev embedding theorems for spaces \(W^{k,p(x)}(\Omega)\)
- On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: A new class of double phase variable exponent problems: existence and uniqueness