Variational methods for a $p(x,\cdot )$-fractional bi-nonlocal problem of elliptic type

Boundary value problems for second-order elliptic equations (35J25) Variational methods applied to PDEs (35A15) Boundary value problems for PDEs with pseudodifferential operators (35S15) Integro-differential operators (47G20) Fractional partial differential equations (35R11) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Cites Work

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Critical stationary Kirchhoff equations in $\mathbb R^N$ involving nonlocal operators
Stationary Kirchhoff problems involving a fractional elliptic operator and a critical nonlinearity
Multiplicity of solutions for $p(x)$-polyharmonic elliptic Kirchhoff equations
On a new fractional Sobolev space and applications to nonlocal variational problems with variable exponent
Eigenvalue problems involving the fractional $p(x)$-Laplacian operator
On bi-nonlocal problem for elliptic equations with Neumann boundary conditions
On the variational principle
Existence and multiplicity of nontrivial solutions for a bi-nonlocal equation
On a class of fractional Laplacian problems with variable exponents and indefinite weights
Dual variational methods in critical point theory and applications
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Existence of solutions for a $p(x)$-Kirchhoff-type equation
Positive solutions for a quasilinear elliptic equation of Kirchhoff type
Infinitely many positive solutions for Kirchhoff-type problems
Existence and multiplicity of entire solutions for fractional $p$-Kirchhoff equations
Degenerate Kirchhoff problems involving the fractionalp-Laplacian without the (AR) condition
On an elliptic equation of p-Kirchhoff type via variational methods
On a fractional Kirchhoff-type equation via Krasnoselskii’s genus
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
On the Well-Posedness of the Kirchhoff String
A critical Kirchhoff‐type problem driven by a p (·)‐fractional Laplace operator with variable s (·) ‐order
On a class of fractional p(x) -Kirchhoff type problems
On a bi‐nonlocal p(x)‐Kirchhoff equation via Krasnoselskii's genus
Three solutions for a Kirchhoff-type problem involving nonlocal fractional $p$-Laplacian
A VARIATIONAL APPROACH FOR A BI-NON-LOCAL ELLIPTIC PROBLEM INVOLVING THE p(x)-LAPLACIAN AND NON-LINEARITY WITH NON-STANDARD GROWTH
Ekeland's variational principle for a nonlocal $p$-Kirchhoff type eigenvalue problem

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Variational methods for a \(p(x,\cdot )\)-fractional bi-nonlocal problem of elliptic type