VARIATIONAL ANALYSIS FOR FRACTIONAL EQUATIONS WITH VARIABLE EXPONENTS: EXISTENCE, MULTIPLICITY AND NONEXISTENCE RESULTS (Q5880750)

scientific article; zbMATH DE number 7659616

Language	Label	Description	Also known as
English	VARIATIONAL ANALYSIS FOR FRACTIONAL EQUATIONS WITH VARIABLE EXPONENTS: EXISTENCE, MULTIPLICITY AND NONEXISTENCE RESULTS	scientific article; zbMATH DE number 7659616

Statements

instance of

scholarly article

0 references

title

VARIATIONAL ANALYSIS FOR FRACTIONAL EQUATIONS WITH VARIABLE EXPONENTS: EXISTENCE, MULTIPLICITY AND NONEXISTENCE RESULTS (English)

0 references

0 references

0 references

6 March 2023

0 references

zbMATH Keywords

fractional Sobolev spaces

0 references

variable exponents

0 references

existence

0 references

nonexistence

0 references

variational methods

0 references

MaRDI profile type

MaRDI publication profile

0 references

full work available at URL

https://doi.org/10.1142/s0218348x22402599

0 references

cites work

Low perturbations of p-biharmonic equations with competing nonlinearities

0 references

Infinite existence solutions of fractional systems with Lipschitz nonlinearity

0 references

On existence of sequences of weak solutions of fractional systems with Lipschitz nonlinearity

0 references

On existence of multiplicity of weak solutions for a new class of nonlinear fractional boundary value systems via variational approach

0 references

Hitchhiker's guide to the fractional Sobolev spaces

0 references

Ground state solutions of scalar field fractional Schrödinger equations

0 references

Variational Methods for Nonlocal Fractional Problems

0 references

Variational problems with free boundaries for the fractional Laplacian

0 references

Regularity estimates for the solution and the free boundary of the obstacle problem for the fractional Laplacian

0 references

An Extension Problem Related to the Fractional Laplacian

0 references

Mountain pass solutions for non-local elliptic operators

0 references

Variational methods for non-local operators of elliptic type

0 references

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

0 references

On a new fractional Sobolev space and applications to nonlocal variational problems with variable exponent

0 references

Comparison and sub-supersolution principles for the fractional \(p(x)\)-Laplacian

0 references

Robin fractional problems with symmetric variable growth

0 references

Variable order nonlocal Choquard problem with variable exponents

0 references

Existence of solution for a singular fractional Laplacian problem with variable exponents and indefinite weights

0 references

On a class of fractional Laplacian problems with variable exponents and indefinite weights

0 references

On some singular problems involving the fractional p(x,.) -Laplace operator

0 references

A-priori bounds and multiplicity of solutions for nonlinear elliptic problems involving the fractional \(p(\cdot)\)-Laplacian

0 references

Renormalized solutions for the fractional \(p(x)\)-Laplacian equation with \(L^1\) data

0 references

On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)

0 references

Q4021390

0 references

AVERAGING OF FUNCTIONALS OF THE CALCULUS OF VARIATIONS AND ELASTICITY THEORY

0 references

Lebesgue and Sobolev spaces with variable exponents

0 references

Partial Differential Equations with Variable Exponents

0 references

A further three critical points theorem

0 references

Identifiers

DOI

10.1142/S0218348X22402599

0 references

Mathematics Subject Classification ID

0 references

0 references

0 references

0 references

0 references

Sitelinks

Mathematics(1 entry)

mardi Publication:5880750