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On the concentration-compactness principle for anisotropic variable exponent Sobolev spaces and its applications
We obtain critical embeddings and the concentration-compactness principle for the anisotropic variable exponent Sobolev spaces. As an application of...
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Large deviation principle for persistence diagrams of random cubical filtrations
The objective of this article is to investigate the asymptotic behavior of the persistence diagrams of a random cubical filtration as the window size...
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Existence and Asymptotic Behavior of Ground State Solutions for Quasilinear Schrödinger Equations with Unbounded Potential
The authors study the existence of standing wave solutions for the quasilinear Schrödinger equation with the critical exponent and singular...
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Existence of solutions for superquadratic or asymptotically quadratic fractional Hamiltonian systems
In this paper, we are concerned with a class of periodic fractional Hamiltonian systems when the Hamiltonian is superquadratic not satisfying the...
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On the noncooperative Schrödinger–Kirchhoff system involving the critical nonlinearities on the Heisenberg group
This paper deals with the existence of solutions for the noncooperative Schrödinger–Kirchhoff system involving the p -Laplacian operator and critical...
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Uniform Large Deviation Principle for the Solutions of Two-Dimensional Stochastic Navier–Stokes Equations in Vorticity Form
The main objective of this paper is to demonstrate the uniform large deviation principle (UDLP) for the solutions of two-dimensional stochastic...
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Fractional Schrödinger Equations with Logarithmic and Critical Nonlinearities
In this paper, we study a class of the fractional Schrödinger equations involving logarithmic and critical nonlinearities. By using the Nehari...
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Multiplicity of nontrivial solutions for Kirchhoff type equations with zero mass and a critical term
In this paper, a class of Kirchhoff type equations in ℝ N ( N ⩾ 3) with zero mass and a critical term is studied. Under some appropriate conditions,...
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The Global Solution and Blowup of a Spatiotemporal EIT Problem with a Dynamical Boundary Condition
We study a spatiotemporal EIT problem with a dynamical boundary condition for the fractional Dirichlet-to-Neumann operator with a critical exponent....
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Existence of Solutions for a Critical Choquard–Kirchhoff Problem with Variable Exponents
We consider the Choquard–Kirchhoff problem involving variable exponents and critical nonlinearity in the whole space. Combining the...
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The Brezis–Nirenberg Problem for the Fractional p-Laplacian in Unbounded Domains
In this paper we study the existence of nontrivial solutions to the well-known Brezis–Nirenberg problem involving the fractional p -Laplace operator...
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On a class of critical p(x)-Laplacian type problems with Steklov boundary conditions
In this work, we deal with Steklov problem under critical growth condition on the nonlinearity. Using a version of the concentration-compactness...
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Biharmonic Kirchhoff Type Elliptic Systems with the Singular Exponential Nonlinearities in \(\mathbb {R}^4\)
In this paper, we study singular version of Adams–Moser–Trudinger inequality and its sharp concentration-compactness principle on the Cartesian...
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Multiplicity results for generalized quasilinear critical Schrödinger equations in \({\mathbb {R}}^N\)
Multiplicity results are proved for solutions both with positive and negative energy, as well as nonexistence results, of a generalized quasilinear...
