On fractional Musielak-Sobolev spaces and applications to nonlocal problems
From MaRDI portal
Publication:2690668
DOI10.1007/s12220-023-01211-2OpenAlexW4321179356MaRDI QIDQ2690668
Ariel Martin Salort, L. R. S. de Assis, José Carlos de Albuquerque, Marcos L. M. Carvalho
Publication date: 17 March 2023
Published in: The Journal of Geometric Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2301.04601
Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Integro-differential operators (47G20) Fractional partial differential equations (35R11)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Eigenvalues for double phase variational integrals
- On variational problems and nonlinear elliptic equations with nonstandard growth conditions
- Hitchhiker's guide to the fractional Sobolev spaces
- Bounded minimisers of double phase variational integrals
- Differential equations of divergence form in Musielak-Sobolev spaces and a sub-supersolution method
- Strongly nonlinear multivalued elliptic equations on a bounded domain
- Orlicz spaces and modular spaces
- Solutions for a quasilinear elliptic equation in Musielak-Sobolev spaces
- Neumann problems associated to nonhomogeneous differential operators in Orlicz-Sobolev spaces
- Regularity of minimizers of integrals of the calculus of variations with non-standard growth conditions
- On Lavrentiev's phenomenon
- On some variational problems
- Existence and multiplicity results for double phase problem
- On a new fractional Sobolev space and applications to nonlocal variational problems with variable exponent
- Comparison and sub-supersolution principles for the fractional \(p(x)\)-Laplacian
- Eigenvalue problems involving the fractional \(p(x)\)-Laplacian operator
- Orlicz spaces and generalized Orlicz spaces
- Regularity for general functionals with double phase
- A new class of double phase variable exponent problems: existence and uniqueness
- Fractional double phase Robin problem involving variable order-exponents without Ambrosetti-Rabinowitz condition
- A Hölder infinity Laplacian obtained as limit of Orlicz fractional Laplacians
- On a new fractional Sobolev space with variable exponent on complete manifolds
- Quasilinear elliptic problems on non-reflexive Orlicz-Sobolev spaces
- Nonlocal eigenvalue type problem in fractional Orlicz-Sobolev space. Nonlocal eigenvalue type problem
- Basic results of fractional Orlicz-Sobolev space and applications to non-local problems
- Fractional double-phase patterns: concentration and multiplicity of solutions
- Concentration of solutions for fractional double-phase problems: critical and supercritical cases
- Regularity for double phase variational problems
- On a class of nonvariational problems in fractional Orlicz-Sobolev spaces
- Eigenvalues and minimizers for a non-standard growth non-local operator
- Embedding theorems in the fractional Orlicz-Sobolev space and applications to non-local problems
- Harnack inequalities for double phase functionals
- Fractional order Orlicz-Sobolev spaces
- On quasilinear elliptic problems without the Ambrosetti-Rabinowitz condition
- Regularity and existence of solutions of elliptic equations with p,q- growth conditions
- Fractional Orlicz-Sobolev embeddings
- A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
- Uniform convexity and associate spaces
- Positive Solutions of Quasilinear Elliptic Equations with Critical Orlicz-Sobolev Nonlinearity on RN
- Strong maximum principles for supersolutions of quasilinear elliptic equations
- Variational elliptic problems which are nonquadratic at infinity
- Almost everywhere convergence of gradients of solutions to nonlinear elliptic systems
- Fractional Sobolev spaces with variable exponents and fractional <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>p</mml:mi> <mml:mrow> <mml:mo form="prefix">(</mml:mo> <mml:mi>x</mml:mi> <mml:mo form="postfix">)</mml:mo> </mml:mrow> </mml:mrow> </mml:math>-Laplacians
- Nonlinear Analysis - Theory and Methods
- Existence and multiplicity results forp(⋅)&q(⋅) fractional Choquard problems with variable order
- On a class of nonlocal problems in new fractional Musielak-Sobolev spaces
- Robin fractional problems with symmetric variable growth
- Existence of solution for a singular fractional Laplacian problem with variable exponents and indefinite weights
- Double phase transonic flow problems with variable growth: nonlinear patterns and stationary waves
- Embedding and extension results in fractional Musielak–Sobolev spaces
This page was built for publication: On fractional Musielak-Sobolev spaces and applications to nonlocal problems