Dynamical boundary problem for Dirichlet-to-Neumann operator with critical Sobolev exponent and Hardy potential
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Publication:2665482
DOI10.1016/j.nonrwa.2021.103346zbMath1478.35221OpenAlexW3164229285MaRDI QIDQ2665482
Publication date: 19 November 2021
Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.nonrwa.2021.103346
Boundary value problems for second-order elliptic equations (35J25) Nonlinear boundary value problems for linear elliptic equations (35J65) Critical exponents in context of PDEs (35B33) Fractional partial differential equations (35R11)
Cites Work
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- On some critical problems for the fractional Laplacian operator
- The Brezis-Nirenberg type problem involving the square root of the Laplacian
- The Nehari manifold for elliptic equation involving the square root of the Laplacian
- Dirichlet-to-Neumann semigroup acts as a magnifying glass
- Blow-up of continuous and semidiscrete solutions to elliptic equations with semilinear dynamical boundary conditions of parabolic type
- Positive solutions of nonlinear problems involving the square root of the Laplacian
- Decay of mass for nonlinear equation with fractional Laplacian
- Blow-up for some equations with semilinear dynamical boundary conditions of parabolic and hyperbolic type
- Boundedness of global solutions of nonlinear diffusion equations
- Nonlinear elliptic systems with dynamic boundary conditions
- On nonexistence of global solutions for some nonlinear integral equations
- Saddle points and instability of nonlinear hyperbolic equations
- Asymptotic stability and blowing up of solutions of some nonlinear equations
- Energy identity of harmonic map flows from surfaces at finite singular time
- Global existence for elliptic equations with dynamic boundary conditions
- Direct methods on fractional equations
- Around a singular solution of a nonlocal nonlinear heat equation
- On singularities of the heat flow for harmonic maps from surfaces into spheres
- On partial regularity of the borderline solution of semilinear parabolic equation with critical growth
- Positive solutions for non local elliptic problems
- Convergence to the Poisson kernel for the Laplace equation with a nonlinear dynamical boundary condition
- A note on nonexistence of global solutions to a nonlinear integral equation
- Finite time blow-up for the fractional critical heat equation in \(\mathbb{R}^n\)
- Fractional calculus: quo vadimus? (where are we going?)
- Global existence and blowup of solutions to semilinear fractional reaction-diffusion equation with singular potential
- Infinite time blow-up for the fractional heat equation with critical exponent
- GLOBAL SOLUTION AND BLOWUP OF SEMILINEAR HEAT EQUATION WITH CRITICAL SOBOLEV EXPONENT
- A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
- Quasilinear parabolic systems with dynamical boundary conditions
- Nonlocal Kirchhoff diffusion problems: local existence and blow-up of solutions
- Solutions globales d'equations de la chaleur semi lineaires.
- Evolution equations with dynamic boundary conditions
- Electrical impedance tomography and Calderón's problem
- The local regularity of solutions of degenerate elliptic equations
- Characterization of traces of the weighted Sobolev space $W^{1,p}(\Omega,d_M^\epsilon)$ on $M$
- Bubbling of the heat flows for harmonic maps from surfaces
- On solutions of space-fractional diffusion equations by means of potential wells
- PHRAGMÉN-LINDELÖF ALTERNATIVE FOR THE LAPLACE EQUATION WITH DYNAMIC BOUNDARY CONDITIONS
- Inverse problems: seeing the unseen
- An Extension Problem Related to the Fractional Laplacian
- Large-Scale Scientific Computing
- Semilinear parabolic equations involving critical Sobolev exponent: Local and asymptotic behavior of solutions
