Results 101 to 110 of about 159 (128)

Ground state solutions for nonlinear fractional Schrodinger equations involving critical growth

Electronic Journal of Differential Equations, 2017
This article concerns the ground state solutions of nonlinear fractional Schrodinger equations involving critical growth. We obtain the existence of ground state solutions when the potential is not a constant and not radial.
Hua Jin, Wenbin Liu
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Infinitely many radial solutions for a sub-super critical Dirichlet boundary value problem in a ball

Electronic Journal of Differential Equations, 2007
We prove the existence of infinitely many solutions to a semilinear Dirichlet boundary value problem in a ball for a nonlinearity $g(u)$ that grows subcritically for $u$ positive and supercritically for $u$ negative.
Chee Meng Tan, John Kwon, Alfonso Castro
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Pohozaev-like identity for the regional fractional laplacian

We establish a new integration by parts formula for the regional fractional laplacian $(-Δ)^s_Ω$ in bounded open sets of class $C^2$. As a direct application, we prove that weak solutions to the corresponding Dirichlet problem satisfy a Pohozaev-like identity with an explicit remainder term.
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Nonexistence results for semilinear systems in unbounded domains

Electronic Journal of Differential Equations, 2009
This paper concerns the non-existence of nontrivial solutions for the semi-linear system of gradient type $$displaylines{ lambda frac{partial ^{2}u_{k}}{partial t^{2}} -sum_{i=1}^n frac{partial }{partial x_{i}}(p_{i}(x)frac{ partial u_{k}}{partial x_{i}}
Abdelkrim Moussaoui, Brahim Khodja
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The Stress-Energy Tensor and Pohozaev's Identity for Systems

, 2012
Utilizing stress-energy tensors which allow for a divergence-free formulation, we establish Pohozaev's identity for certain classes of quasilinear systems with variational structure. © 2012 Wuhan Institute of Physics and Mathematics.
Alikakos, N.D., Faliagas, A.C.
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Regular solutions to elliptic equations

Electronic Journal of Differential Equations, 2023
Alfonso Castro, Jon Jacobsen
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Pohozaev identity and its applications

Pohozaev identity and its applications
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The Fractional Pohozaev identity in $${\mathbb {R}}^{N}$$

Journal of Geometric Analysis
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Vincenzo Ambrosio, Ambrosio Vincenzo
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Pohozaev identity and Virial Theorem for the Dirac–Coulomb operator

Journal of Fixed Point Theory and Applications, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Margherita Nolasco
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Some applications of the Pohozaev identity

Journal of Mathematical Physics, 2009
We apply the Pohozaev identity to show the nonexistence of nontrivial solutions to a semilinear equation of the form (H−E)u=f(x,∣u∣)u, where E is a real constant lying on the essential spectrum of H. The self-adjoint operators H under consideration are the Schrödinger operator with Coulomb-type potentials, the Stark-like Hamiltonian, and the ...
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