On a nonlocal fractional \(p\)(., .)-Laplacian problem with competing nonlinearities
From MaRDI portal
Publication:2313027
DOI10.1007/s11785-018-00885-9zbMath1419.35197OpenAlexW2907934924WikidataQ128685542 ScholiaQ128685542MaRDI QIDQ2313027
Publication date: 18 July 2019
Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11785-018-00885-9
Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear elliptic equations (35J60) Weak solutions to PDEs (35D30) Fractional partial differential equations (35R11) Boundary value problems for higher-order elliptic systems (35J58)
Related Items
A fractional \(p(x,\cdot)\)-Laplacian problem involving a singular term ⋮ Existence and multiplicity of solutions for Schrödinger-Kirchhoff type problems involving the fractional \(p(\cdot) \)-Laplacian in \(\mathbb{R}^N\) ⋮ Multiplicity of solutions for a class of fractional \(p(x,\cdot)\)-Kirchhoff-type problems without the Ambrosetti-Rabinowitz condition ⋮ Existence results for a Kirchhoff-type equations involving the fractional \(p_1(x)\) \& \(p_2(x)\)-Laplace operator ⋮ Multiplicity results for a nonlocal fractional problem ⋮ On a class of fractional Laplacian problems with variable exponents and indefinite weights ⋮ Multiplicity of solutions for nonlocal parametric elliptic systems in fractional Orlicz-Sobolev spaces ⋮ Existence and multiplicity of solutions for α(x)-Kirchhoff Equation with indefinite weights ⋮ Local regularity for nonlocal equations with variable exponents ⋮ On the existence of solutions of a nonlocal biharmonic problem ⋮ Existence and Multiplicity of Solutions for a Class of Fractional Kirchhoff Type Problems with Variable Exponents ⋮ Existence of solutions for a singular double phase Kirchhoff type problems involving the fractional \(q(x, .)\)-Laplacian Operator ⋮ Solutions of the mean curvature equation with the Nehari manifold ⋮ Infinitely many solutions for Schrödinger-Kirchhoff-type equations involving the fractional \(p(x, \cdot )\)-Laplacian ⋮ Strauss and Lions type theorems for the fractional Sobolev spaces with variable exponent and applications to nonlocal Kirchhoff-Choquard problem ⋮ Existence and multiplicity of solutions for a Schrödinger-Kirchhoff type equation involving the fractional \(p(.,.)\)-Laplacian operator in \(\mathbb{R}^N\) ⋮ Existence results for fractional \(p(x, . )\)-Laplacian problem via the Nehari manifold approach ⋮ Existence of solutions for a class of fractional Kirchhoff-type systems in \(\mathbb{R}^N\) with non-standard growth ⋮ Existence of a solution to a nonlocal Schrödinger system problem in fractional modular spaces ⋮ Neumann and Robin type boundary conditions in Fractional Orlicz-Sobolev spaces ⋮ Ground state solutions for a nonlocal system in fractional Orlicz-Sobolev spaces ⋮ MULTIPLICITY RESULTS FOR A KIRCHHOFF SINGULAR PROBLEM INVOLVING THE FRACTIONAL P-LAPLACIAN
Cites Work
- 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
- Kirchhoff systems with nonlinear source and boundary damping terms
- Lebesgue and Sobolev spaces with variable exponents
- The Nehari manifold for a Kirchhoff type problem involving sign-changing weight functions
- Orlicz spaces and modular spaces
- On stationary thermo-rheological viscous flows
- On a \(p\)-Kirchhoff equation via fountain theorem and dual fountain theorem
- Journees d'analyse non linéaire. Proceedings, Besancon, France, June 1977
- Electrorheological fluids: modeling and mathematical theory
- On a new fractional Sobolev space and applications to nonlocal variational problems with variable exponent
- Traces for fractional Sobolev spaces with variable exponents
- Nontrivial solutions for Kirchhoff-type problems involving the \(p(x)\)-Laplace operator
- Dual variational methods in critical point theory and applications
- On Dirichlet problem for fractional \(p\)-Laplacian with singular non-linearity
- Critical growth fractional elliptic problem with singular nonlinearities
- AVERAGING OF FUNCTIONALS OF THE CALCULUS OF VARIATIONS AND ELASTICITY THEORY
- On a free boundary problem arising in plasma physics
- On a dirichlet problem with a singular nonlinearity
- 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
- Minimax method involving singular p(x)-Kirchhoff equation
- The Nehari manifold for a singular elliptic equation involving the fractional Laplace operator
- Financial Modelling with Jump Processes
- Three solutions for a nonlocal Dirichlet boundary value problem involving thep(x)-Laplacian
- An Extension Problem Related to the Fractional Laplacian
- Variable Exponent, Linear Growth Functionals in Image Restoration
- Sobolev embedding theorems for spaces \(W^{k,p(x)}(\Omega)\)
- On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)