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Ground State Solution of Schrödinger–Poisson–Choquard Equation: Double Critical Case
In this paper, we study the existence of Nehari type and Pohožaev type ground state solutions for Schrödinger–Poisson–Choquard equation. The...
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Existence of ground state solutions of the coupled nonlinear Hartree type system with attractive couplings
In this paper we prove the existence and nonexistence of positive ground state solutions of coupled nonlinear Hartree type system attractive...
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Ground state solutions for a class of elliptic Dirichlet problems involving the p(x)-Laplacian
We are interested in the existence and multiplicity of ground state solutions for a class of p ( x )-Laplacian Dirichlet problem in bounded domains....
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Ground state solutions for quasilinear scalar field equations arising in nonlinear optics
In this paper, we study a class of quasilinear elliptic equations which appears in nonlinear optics. By using the mountain pass theorem together with...
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Non-Nehari Manifold Method for Hamiltonian Elliptic System with Hardy Potential: Existence and Asymptotic Properties of Ground State Solution
This paper is dedicated to studying ground state solution for a class of Hamiltonian elliptic system with gradient term and inverse square potential....
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Ground state solution for quasi-linear elliptic systems with general source terms on unbounded domain
In this work we establish two main results. The first one deals with the existence of regular equilibrium state as a positive ground state solution...
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Ground states for coupled NLS equations with double power nonlinearities
We study the existence of ground states (minimizers of an energy under a fixed masses constraint) for a system of coupled NLS equations with double...
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Ground state solution for nonlocal scalar field equations involving an integro-differential operator
This paper is concerned with nonlocal scalar field equations involving an integro-differential operator. We investigate the existence of solutions...