DOI 10.14232/ejqtde.2017.1.76 zbMath 1413.46035 OpenAlex W2774492477 MaRDI QID Q4584552
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Publication date : 3 September 2018
Published in : Electronic Journal of Qualitative Theory of Differential Equations (Search for Journal in Brave )
Full work available at URL : https://doi.org/10.14232/ejqtde.2017.1.76
VARIATIONAL ANALYSIS FOR FRACTIONAL EQUATIONS WITH VARIABLE EXPONENTS: EXISTENCE, MULTIPLICITY AND NONEXISTENCE RESULTS ⋮
Least-energy nodal solutions of nonlinear equations with fractional Orlicz–Sobolev spaces ⋮
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 \(\mathbb{R}^N\) ⋮
Fractional N-Laplacian boundary value problems with jumping nonlinearities in the fractional Orlicz-Sobolev spaces ⋮
Existence results for a Kirchhoff-type equation involving fractional \(p(x)\)-Laplacian ⋮
Existence results for a Kirchhoff-type equations involving the fractional \(p_1(x)\) \& \(p_2(x)\)-Laplace operator ⋮
On the variable exponential fractional Sobolev space \(W^{s(\cdot),p(\cdot)}\) ⋮
Fractional double phase Robin problem involving variable order-exponents without Ambrosetti-Rabinowitz condition ⋮
Multiplicity results for variable-order fractional Laplacian equations with variable growth ⋮
A class of \(p_1 (x, \cdot)\) \& \(p_2 (x, \cdot)\)-fractional Kirchhoff-type problem with variable \(s(x, \cdot)\)-order and without the Ambrosetti-Rabinowitz condition in \(\mathbb{R}^N\) ⋮
Weak solutions for fractional \(p(x,\cdot)\)-Laplacian Dirichlet problems with weight ⋮
Infinitely many solutions for a doubly nonlocal fractional problem involving two critical nonlinearities ⋮
WEAK SOLUTION FOR NONLINEAR FRACTIONAL P(.)-LAPLACIAN PROBLEM WITH VARIABLE ORDER VIA ROTHE'S TIME-DISCRETIZATION METHOD ⋮
Multiplicity results for elliptic problems involving nonlocal integrodifferential operators without Ambrosetti-Rabinowitz condition ⋮
Multiple solutions for a binonlocal fractional \(p(x,\cdot)\)-Kirchhoff type problem ⋮
On a class of nonlocal problems in new fractional Musielak-Sobolev spaces ⋮
The topological degree methods for the fractional p(·)-Laplacian problems with discontinuous nonlinearities ⋮
Multiplicity results for a nonlocal fractional problem ⋮
On a class of fractional Laplacian problems with variable exponents and indefinite weights ⋮
Global existence and blow-up of solutions for a parabolic equation involving the fractional p (x )-Laplacian ⋮
Embedding theorems on the fractional Orlicz-Sobolev spaces ⋮
On a new fractional Sobolev space and applications to nonlocal variational problems with variable exponent ⋮
Non-local diffusion equations involving the fractional \(p(\cdot)\)-Laplacian ⋮
Infinitely many solutions for a class of fractional Robin problems with variable exponents ⋮
Embedding theorems for variable exponent fractional Sobolev spaces and an application ⋮
On a class of fractional systems with nonstandard growth conditions ⋮
Comparison and sub-supersolution principles for the fractional \(p(x)\)-Laplacian ⋮
The fractional p (.,.)-Neumann boundary conditions for the nonlocal p (.,.)-Laplacian operator ⋮
Embedding and extension results in fractional Musielak–Sobolev spaces ⋮
On some singular problems involving the fractional p (x ,.) -Laplace operator ⋮
Bourgain, Brezis and Mironescu theorem for fractional Sobolev spaces with variable exponents ⋮
Characteristic of solutions for non‐local fractional p(x)‐Laplacian with multi‐valued nonlinear perturbations ⋮
Existence and multiplicity of solutions for critical nonlocal equations with variable exponents ⋮
Multiplicity of solutions for fractional \(q(\cdot)\)-Laplacian equations ⋮
Small perturbations of critical nonlocal equations with variable exponents ⋮
Local regularity for nonlocal equations with variable exponents ⋮
Fractional variable exponents Sobolev trace spaces and Dirichlet problem for the regional fractional \(p(.)\)-Laplacian ⋮
General fractional Sobolev space with variable exponent and applications to nonlocal problems ⋮
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 ⋮
Kirchhoff-type problems involving logarithmic nonlinearity with variable exponent and convection term ⋮
On asymptotic behavior for a class of diffusion equations involving the fractional \(\wp (\cdot)\)-Laplacian as \(\wp (\cdot)\) goes to \(\infty\) ⋮
Fractional Sobolev spaces with kernel function on compact Riemannian manifolds ⋮
Existence and Multiplicity of Solutions for a Class of Fractional Kirchhoff Type Problems with Variable Exponents ⋮
On a class of fractional p (⋅,⋅)−Laplacian problems with sub-supercritical nonlinearities ⋮
Fractional double phase Robin problem involving variable‐order exponents and logarithm‐type nonlinearity ⋮
Infinitely many solutions to a Kirchhoff-type equation involving logarithmic nonlinearity via Morse's theory ⋮
Existence and multiplicity of solutions for fractional \(p(x)\)-Kirchhoff-type problems ⋮
Some results of capacity in fractional Sobolev spaces with variable exponents ⋮
Ekeland’s Variational Principle for the Fractional p(x)-Laplacian Operator ⋮
Existence of solutions for a singular double phase Kirchhoff type problems involving the fractional \(q(x, .)\)-Laplacian Operator ⋮
Higher-order chain rules for tensor fields, generalized Bell polynomials, and estimates in Orlicz-Sobolev-Slobodeckij and total variation spaces ⋮
Infinitely many solutions for Schrödinger-Kirchhoff-type equations involving the fractional \(p(x, \cdot )\)-Laplacian ⋮
On fractional Musielak-Sobolev spaces and applications to nonlocal problems ⋮
Eigenvalue problems involving the fractional \(p(x)\)-Laplacian operator ⋮
Strauss and Lions type theorems for the fractional Sobolev spaces with variable exponent and applications to nonlocal Kirchhoff-Choquard problem ⋮
Variable-order fractional Sobolev spaces and nonlinear elliptic equations with variable exponents ⋮
Robin fractional problems with symmetric variable growth ⋮
Existence and multiplicity of solutions for a Schrödinger-Kirchhoff type equation involving the fractional \(p(.,.)\)-Laplacian operator in \(\mathbb{R}^N\) ⋮
A class of elliptic equations involving nonlocal integrodifferential operators with sign-changing weight functions ⋮
On a nonlocal problem involving the fractional \(p(x,.)\)-Laplacian satisfying Cerami condition ⋮
Existence results for fractional \(p(x, . )\)-Laplacian problem via the Nehari manifold approach ⋮
On a class of fractional p (x ) -Kirchhoff type problems ⋮
Existence of solutions for a class of fractional Kirchhoff-type systems in \(\mathbb{R}^N\) with non-standard growth ⋮
Infinitely many solutions for Kirchhoff-type variable-order fractional Laplacian problems involving variable exponents ⋮
Existence of solution for a singular fractional Laplacian problem with variable exponents and indefinite weights ⋮
Negative energy solutions for a new fractional \(p(x)\)-Kirchhoff problem without the (AR) condition ⋮
On a class of nonvariational problems in fractional Orlicz-Sobolev spaces ⋮
Renormalized solutions for the fractional \(p(x)\)-Laplacian equation with \(L^1\) data ⋮
Multiplicity of solutions for variable-order fractional Kirchhoff equations with nonstandard growth ⋮
Nehari manifold for fractional p(.)-Laplacian system involving concave-convex nonlinearities ⋮
The concentration-compactness principles for \(W^{s,p(\cdot,\cdot)}(\mathbb{R}^N)\) and application ⋮
Compact embedding theorems for fractional Sobolev spaces with variable exponents ⋮
Eigenvalue problem associated with nonhomogeneous integro-differential operators ⋮
Existence and uniqueness of weak solutions to variable-order fractional Laplacian equations with variable exponents ⋮
Global existence and dynamic structure of solutions for damped wave equation involving the fractional Laplacian ⋮
Multiplicity of weak solutions to non-local elliptic equations involving the fractional p (x )-Laplacian ⋮
On a nonlocal fractional \(p\)(., .)-Laplacian problem with competing nonlinearities ⋮
Critical Kirchhoff \(p(\cdot) \& q(\cdot)\)-fractional variable-order systems with variable exponent growth ⋮
Density properties for fractional Sobolev spaces with variable exponents ⋮
On the fractional \(p\)-Laplacian problems ⋮
On a class of Kirchhoff-Choquard equations involving variable-order fractional \(p(\cdot)\)-Laplacian and without Ambrosetti-Rabinowitz type condition ⋮
Variable order nonlocal Choquard problem with variable exponents ⋮
On the variable-order fractional Laplacian equation with variable growth on \(\mathbb{R}^N\) ⋮
Neumann and Robin type boundary conditions in Fractional Orlicz-Sobolev spaces ⋮
Remarks on eigenvalue problems for fractional p ( · )-Laplacian ⋮
Eigenvalue problems for fractional \(p(x,y)\)-Laplacian equations with indefinite weight ⋮
Existence and multiplicity of solutions for fractional p (x ,.)-Kirchhoff-type problems in ℝN ⋮
A-priori bounds and multiplicity of solutions for nonlinear elliptic problems involving the fractional \(p(\cdot)\)-Laplacian ⋮
Local Hölder regularity for nonlocal equations with variable powers ⋮
Infinitely many small solutions to an elliptic PDE of variable exponent with a singular nonlinearity ⋮
Infinitely many large solutions to a variable order nonlocal singular equation ⋮
On the fractional elliptic problems with difference in the Orlicz-Sobolev spaces
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