Results 71 to 80 of about 1,290,485 (220)
Uniqueness of positive solutions for cooperative Hamiltonian elliptic systems
Electronic Journal of Differential Equations, 2016 The uniqueness of positive solution of a semilinear cooperative Hamiltonian elliptic system with two equations is proved for the case of sublinear and superlinear nonlinearities. Implicit function theorem, bifurcation theory, and ordinary differential
Junping Shi, Ratnasingham Shivaji
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Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.Stochastic processes prevail throughout fields as diverse as finance, physics, and biology, demanding increasingly sophisticated mathematical tools. These are the principal components of modeling systems influenced by random forces. The present work offers a structured examination of the solution landscape, progressing from foundational classical ...
Danamma I. Badigannavar +2 more
wiley +1 more source
Electronic Journal of Differential Equations, 2016 In this article, we study a class of semilinear elliptic equations involving Hardy-Sobolev critical exponents and Hardy-Sobolev-Maz'ya potential in a bounded domain. We obtain the existence of positive solutions using the Mountain Pass Lemma.
Rui-Ting Jiang, Chun-Lei Tang
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Journal of Function Spaces, Volume 2026, Issue 1, 2026.Consider an injective closed linear operator Λ defined on a Banach space Ψ and introduce the modified Atangana–Baleanu–Caputo (mABC) fractional derivative, denoted by mABCDtγ. We demonstrate the existence of a unique solution to the abstract Cauchy problem mABCDtγut=Mγ1/1−γ+χγft−Mγ/1−γEγ−χγtγft−MγχγΛut,t≥0.
Maysaa Al-Qurashi +4 more
wiley +1 more source
Spectral properties of non-local uniformly-elliptic operators [PDF]
, 2006 In this paper we consider the spectral properties of a class of non-local uniformly elliptic operators, which arise from the study of non-local uniformly elliptic partial differential equations. Such equations arise naturally in the study of a variety of
Niall Dodds +3 more
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A variational approach to semilinear elliptic equations with measure data
, 2011 We describe a direct variational approach to a class of semilinear elliptic equations with measure data.
null null +4 more
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Six One‐Sign Solutions for Semilinear Elliptic Problems in ℝN*
Journal of Function Spaces, Volume 2026, Issue 1, 2026.In this work, we consider the existence of one‐sign solutions for semilinear elliptic problems: {−Δu = λa(x)f(u), in ℝN, u(x)⟶0, as|x|⟶+∞, where N ≥ 3, λ is a real parameter and a ∈ C(ℝN, ℝ) is a weighted function, f ∈ C(ℝ, ℝ). Furthermore, by bifurcation technique, we identify the interval of bifurcation parameter in which the semilinear elliptic ...
Wenguo Shen, Claudia Capone
wiley +1 more source
Some properties of Palais-Smale sequences with applications to elliptic boundary-value problems
Electronic Journal of Differential Equations, 1999 When using calculus of variations to study nonlinear elliptic boundary-value problems on unbounded domains, the Palais-Smale condition is not always satisfied.
Chao-Nien Chen, Shyuh-Yaur Tzeng
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Computation of radial solutions of semilinear equations
Electronic Journal of Qualitative Theory of Differential Equations, 2007 We express radial solutions of semilinear elliptic equations on $R^n$ as convergent power series in $r$, and then use Pade approximants to compute both ground state solutions, and solutions to Dirichlet problem.
Philip Korman
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Points of Spherical Maxima and Solvability of Semilinear Elliptic Equations
, 1991 We give mild sufficient conditions on a nonlinear functional to have eigenvalues. These results are intended for the study of boundary value problems for semilinear elliptic equations.
Martin Schechter, Kyril Tintarev
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