Results 11 to 20 of about 160 (129)
Domain geometry and the Pohozaev identity
Electronic Journal of Differential Equations, 2005 In this paper, we investigate the boundary between existence and nonexistence for positive solutions of Dirichlet problem $Delta u + f(u) = 0$, where $f$ has supercritical growth.
Gregg Stubbendieck +3 more
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The Pohozaev Identity for the Fractional Laplacian [PDF]
Archive for Rational Mechanics and Analysis, 2014 The sign of the boundary term in Theorem 1.9 has been ...
Ros Oton, Xavier +1 more
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A generalized fractional Pohozaev identity and applications
Advances in Calculus of Variations, 2023 Abstract We prove a fractional Pohozaev-type identity in a generalized framework and discuss its applications. Specifically, we shall consider applications to the nonexistence of solutions in the case of supercritical semilinear Dirichlet problems and regarding a Hadamard formula for the derivative of Dirichlet eigenvalues of the ...
Djitte, Sidy Moctar +2 more
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A refinement of the radial Pohozaev identity [PDF]
Mathematica Bohemica, 2010 Summary: In this article we produce a refined version of the classical Pohozaev identity in the radial setting. The refined identity is then compared to the original, and possible applications are discussed.
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The Pohozaev identity for the anisotropic $p$-Laplacian and estimates of the torsion function [PDF]
Revista Matemática Iberoamericana, 2020 In this paper we prove a Pohozaev identity for the weighted anisotropic p -Laplace operator. As an application of the identity, we deduce the nonexistence of nontrivial solutions of the Dirichlet problem for the weighted anisotropic
Wang, Qiaoling, Xia, Changyu
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GROUP INVARIANCE AND POHOZAEV IDENTITY IN MOSER-TYPE INEQUALITIES [PDF]
Communications in Contemporary Mathematics, 2013 We study the so-called limiting Sobolev cases for embeddings of the spaces [Formula: see text], where Ω ⊂ ℝn is a bounded domain. Differently from J. Moser, we consider optimal embeddings into Zygmund spaces: we derive related Euler–Lagrange equations, and show that Moser's concentrating sequences are the solutions of these equations and thus realize ...
D. Cassani, B. Ruf, C. Tarsi
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Existence and Nonexistence of Positive Solutions for a Weighted Quasilinear Elliptic System
Journal of Mathematics, 2023 This paper deals with the existence and nonexistence of solutions for the following weighted quasilinear elliptic system, Sμ1,μ2q1,q2−divq1x∇up−2∇u=μ1up−2u+α+1uα−1uvβ+1in Ω−divq2x∇vp−2∇v=μ2vp−2v+β+1uα+1vβ−1vin Ωu>0, v>0in Ωu=v=0on ∂Ω , where Ω⊂ℜNN≥3,2 ...
Yamina Hamzaoui +2 more
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Electronic Journal of Differential Equations, 2021 In this article, we consider the multiplicity of solutions for nonhomogeneous Schrodinger-Poisson systems under the Berestycki-Lions type conditions.
Lan-Xin Huang +2 more
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Some Remarks on Pohozaev-Type Identities
Bruno Pini Mathematical Analysis Seminar, 2018 In this note we present some Pohozaev-type identities that have been recently established in a joint work with Paul Laurain and Tristan Rivière in the framework of half-harmonic maps defined either on the real line or on the unit circle with values into a closed n-dimensional manifold.
H. Bueno +2 more
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Electronic Journal of Qualitative Theory of Differential Equations, 2017 We consider the existence of least energy sign-changing (nodal) solution of Kirchhoff-type elliptic problems with general nonlinearity. Using a truncated technique and constrained minimization on the nodal Nehari manifold, we obtain that the Kirchhoff ...
Xianzhong Yao, Chunlai Mu
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