Existence and multiplicity results for fractional \(p(x)\)-Laplacian Dirichlet problem

Variational methods involving nonlinear operators (47J30) Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear elliptic equations (35J60) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05)

Related Items (1)

Fractional variable exponents Sobolev trace spaces and Dirichlet problem for the regional fractional \(p(.)\)-Laplacian

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
On some critical problems for the fractional Laplacian operator
On a class of semilinear fractional elliptic equations involving outside Dirac data
The Brezis-Nirenberg problem for the fractional \(p\)-Laplacian
Multiplicity results for variable-order fractional Laplacian equations with variable growth
On a new fractional Sobolev space and applications to nonlocal variational problems with variable exponent
Traces for fractional Sobolev spaces with variable exponents
Comparison and sub-supersolution principles for the fractional \(p(x)\)-Laplacian
Eigenvalue problems involving the fractional \(p(x)\)-Laplacian operator
Existence and multiplicity results for Steklov problems with \(p(.)\)-growth conditions
Existence and multiplicity results for elliptic problems with \(p(\cdot)\)-growth conditions
A critical point theorem related to the symmetric mountain pass lemma and its applications to elliptic equations
Positive solutions for the p-Laplacian: application of the fibrering method
Sobolev embeddings with variable exponent
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
An Extension Problem Related to the Fractional Laplacian
Multiple solutions for a class of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>p</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>x</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math>-Laplacian problems involving concave-convex nonlinearities
On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)

This page was built for publication: Existence and multiplicity results for fractional \(p(x)\)-Laplacian Dirichlet problem